Search Results - "Projective and injective objects in functional analysis"

Real operator spaces and operator algebras

Authors: Blecher, David P.

Source: Studia Mathematica. 275:1-40

Subject Terms: operator algebra, Projective and injective objects in functional analysis, Other nonselfadjoint operator algebras, Abstract operator algebras on Hilbert spaces, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), complexification, real structure, Mathematics - Operator Algebras, FOS: Physical sciences, Mathematical Physics (math-ph), injective envelope, real operator space, Primary 46L07, 47L05, 47L25, 47L30, Secondary: 46H25, 46L08, 46M10, 47L75, Functional Analysis (math.FA), Mathematics - Functional Analysis, operator space, \(C^*\)-modules, complex structure, Operator spaces (= matricially normed spaces), FOS: Mathematics, Operator spaces and completely bounded maps, Linear spaces of operators, Operator Algebras (math.OA), Mathematical Physics

File Description: application/xml

Access URL: http://arxiv.org/abs/2303.17050

THE Ext-FUNCTOR FOR THE CATEGORY OF COMPLETELY BOUNDED COMODULES: The Ext-functor for the category of completely bounded comodules

Authors: Chi-Keung Ng

Source: International Journal of Mathematics. 16:307-332

Subject Terms: Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.), Projective and injective objects in functional analysis, \(K\)-theory and operator algebras (including cyclic theory), cohomology theory, Quantizations, deformations for selfadjoint operator algebras, 0101 mathematics, injective objects, Hopf \(C^*\)-algebra, 01 natural sciences

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Access URL: https://www.worldscientific.com/doi/abs/10.1142/S0129167X05002850

Homological properties of modules over group algebras

Authors: Dales, H.G. Polyakov, M. E.

Source: Proceedings of the London Mathematical Society. 89:390-426

Subject Terms: Projective and injective objects in functional analysis, Means on groups, semigroups, etc, amenable groups, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), 01 natural sciences, Group algebras of locally compact groups, projectivity, pseudo-amenability, Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.), group algebra, 0101 mathematics, \(L^1\)-algebras on groups, semigroups, etc, injectivity, flatness

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Access URL: https://academic.oup.com/plms/article/89/2/390/1544037
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024611504014686
https://www.cambridge.org/core/journals/proceedings-of-the-london-mathematical-society/article/homological-properties-of-modules-over-group-algebras/2A3C628CE9124D657DA1F2756EDE87AD
https://eprints.lancs.ac.uk/id/eprint/67583/
http://www.maths.leeds.ac.uk/~pmt6hgd/preprints/homology.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=2211777

Biprojectivity and Biflatness for Convolution Algebras of Nuclear Operators: Biprojectivity and biflatness for convolution algebras of nuclear operators

Authors: Pirkovskii A.Yu.

Source: Canadian Mathematical Bulletin

Subject Terms: Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Projective and injective objects in functional analysis, 46M10, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), Selfadjoint operator algebras (\(C^*\)-algebras, von Neumann (\(W^*\)-) algebras, etc.), nuclear operators, 46H25, 43A20, 16E65, Locally compact groups and their algebras, 16. Peace & justice, Structure, classification of topological algebras, 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.), FOS: Mathematics, amenability, 0101 mathematics, biprojectivity, \(L^1\)-algebras on groups, semigroups, etc, convolution algebra, biflatness

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Access URL: http://arxiv.org/pdf/math/0206233
http://arxiv.org/abs/math/0206233
https://zbmath.org/2112887
https://doi.org/10.4153/cmb-2004-044-6
https://openrepository.ru/article?id=254169
https://publications.hse.ru/articles/74682426
https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/biprojectivity-and-biflatness-for-convolution-algebras-of-nuclear-operators/808FBFB8473B584BB81AF1E45E65C4F9
https://dialnet.unirioja.es/servlet/articulo?codigo=950948

Injective envelopes of C∗-algebras as operator modules: Injective envelopes of \(C^*\)-algebras as operator modules.

Authors: Michael J. Frank Vern I. Paulsen

Source: Pacific Journal of Mathematics. 212:57-69

Subject Terms: 46L08, 46L01, Projective and injective objects in functional analysis, Mathematics - Operator Algebras, multiplier, injective envelope, \(C^*\)-algebra, 01 natural sciences, completely bounded map, injective module, Functional Analysis (math.FA), Mathematics - Functional Analysis, General theory of \(C^*\)-algebras, rigidity, \(C^*\)-modules, FOS: Mathematics, Operator spaces and completely bounded maps, 0101 mathematics, Operator Algebras (math.OA)

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Access URL: http://msp.org/pjm/2003/212-1/pjm-v212-n1-p05-s.pdf
http://arxiv.org/abs/math/0106131
https://msp.org/pjm/2003/212-1/p05.xhtml
http://ui.adsabs.harvard.edu/abs/2001math......6131F/abstract
https://msp.org/pjm/2003/212-1/pjm-v212-n1-p05-s.pdf

Noninjectivity of the Predual Bimodule of the Measure Algebra for Infinite Discrete Groups: Noninjectivity of the predual bimodule of the measure algebra of infinite discrete groups.

Authors: S. B. Tabaldyev

Source: Mathematical Notes. 73:690-696

Subject Terms: Projective and injective objects in functional analysis, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), dual Banach algebras, predual bimodule, measure algebra, 01 natural sciences, Connes-amenability, injective bimodule, 0103 physical sciences, Measures on groups and semigroups, etc, locally compact group, 0101 mathematics, amenable Banach algebra, \(L^1\)-algebras on groups, semigroups, etc

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Access URL: https://link.springer.com/article/10.1023/A:1024016906227

noninjectivity of the predual bimodule of the measure algebra for infinite discrete groups: Noninjectivity of the predual bimodule of the measure algebra of infinite discrete groups.

Authors: S. B. Tabaldyev

Source: Mathematical Notes. 73(5):690-696

Subject Terms: Connes-amenability, injective bimodule, Projective and injective objects in functional analysis, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), dual Banach algebras, predual bimodule, Measures on groups and semigroups, etc, locally compact group, amenable Banach algebra, measure algebra, \(L^1\)-algebras on groups, semigroups, etc

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Access URL: https://link.springer.com/article/10.1023/A:1024016906227

Continuous homomorphisms of Arens‐Michael algebras: Continuous homomorphisms of Arens-Michael algebras

Authors: Alex Chigogidze

Source: International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 19, Pp 1215-1231 (2003)

Subject Terms: Arens-Michael algebras, 46H05, 46M10, Projective and injective objects in functional analysis, Fréchet algebras, 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, QA1-939, FOS: Mathematics, General theory of topological algebras, 0101 mathematics, Mathematics

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Access URL: http://downloads.hindawi.com/journals/ijmms/2003/357935.pdf
http://arxiv.org/abs/math/9908077
https://zbmath.org/1930024
https://doi.org/10.1155/s0161171203012237
https://doaj.org/article/126514746afb43b999fe000efa74793b
https://www.hindawi.com/journals/ijmms/2003/357935/
http://ui.adsabs.harvard.edu/abs/1999math......8077C/abstract
http://downloads.hindawi.com/journals/ijmms/2003/357935.pdf
https://downloads.hindawi.com/journals/ijmms/2003/357935.pdf

Banach space techniques underpinning a theory for nearly additive mappings

Authors: Jesús M. F. Castillo Félix Cabello Sánchez

Source: Dissertationes Mathematicae. 404:1-73

Subject Terms: Projective and injective objects in functional analysis, Stability, separation, extension, and related topics for functional equations, duality theory, nearly additive mappings, controlled groups, Categories, functors in functional analysis, 01 natural sciences, uniform boundedness principles, extension of Banach spaces, twisted sums, Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.), Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.), exact sequences, Functional inequalities, including subadditivity, convexity, etc, Ultraproducts in functional analysis, Ulam's stability, 0101 mathematics, homology sequences, asymptotically additive mappings

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/88096?download.pdf
https://eudml.org/doc/286025
https://www.impan.pl/shop/publication/transaction/download/product/88096?download.pdf
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/dissertationes-mathematicae/all/404/0/88096/banach-space-techniques-underpinning-a-theory-for-nearly-additive-mappings

Multipliers of operator spaces, and the injective envelope: Multipliers of operator spaces, and the injective envelope.

Authors: David P. Blecher Vern I. Paulsen

Source: Pacific Journal of Mathematics. 200:1-17

Subject Terms: Projective and injective objects in functional analysis, 46M10, Mathematics - Operator Algebras, multiplier, 01 natural sciences, Functional Analysis (math.FA), 47D15, Mathematics - Functional Analysis, operator space, \(C^*\)-modules, Operator spaces (= matricially normed spaces), FOS: Mathematics, Operator spaces and completely bounded maps, Transformers, preservers (linear operators on spaces of linear operators), 0101 mathematics, Operator Algebras (math.OA)

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Access URL: http://msp.org/pjm/2001/200-1/pjm-v200-n1-p01-s.pdf
http://arxiv.org/abs/math/9909041
https://zbmath.org/1818893
https://doi.org/10.2140/pjm.2001.200.1
https://msp.org/pjm/2001/200-1/p01.xhtml
https://msp.org/pjm/2001/200-1/pjm-v200-n1-p01-s.pdf

Complemented subspaces of products of Banach spaces

Authors: Alex Chigogidze

Source: Proceedings of the American Mathematical Society. 129:2959-2963

Subject Terms: product of injective Fréchet spaces, Projective and injective objects in functional analysis, injective space, Spaces defined by inductive or projective limits (LB, LF, etc.), Primary: 46A03, 46M10, Categories, functors in functional analysis, product of complemented subspaces, Secondary: 46A13, 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, General theory of locally convex spaces, FOS: Mathematics, uncountable product of Banach spaces, complemented subspace, 0101 mathematics

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Access URL: https://www.ams.org/proc/2001-129-10/S0002-9939-01-06054-3/S0002-9939-01-06054-3.pdf
http://arxiv.org/abs/math/0002242
https://libres.uncg.edu/ir/unca/listing.aspx?id=811
https://libres.uncg.edu/ir/uncg/f/A_Chigogidze_Complemented_2000.pdf
https://arxiv.org/pdf/math/0002242
http://ui.adsabs.harvard.edu/abs/2000math......2242C/abstract
https://www.ams.org/proc/2001-129-10/S0002-9939-01-06054-3/S0002-9939-01-06054-3.pdf
https://www.ams.org/journals/proc/2001-129-10/S0002-9939-01-06054-3/home.html

Structure of contractible locally $C^*$-algebras: Structure of contractible locally \(C^*\)-algebras

Authors: Fragoulopoulou, M

Source: Proceedings of the American Mathematical Society. 129:2889-2896

Subject Terms: C*-algebras, General theory of \(C^*\)-algebras, homological methods, Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.), Projective and injective objects in functional analysis, Representations of topological algebras with involution, Homological dimension in associative algebras, contractible locally C*-algebras, contractible Arens-Michael algebra, 0101 mathematics, 01 natural sciences

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Access URL: https://www.ams.org/proc/2001-129-10/S0002-9939-01-05949-4/S0002-9939-01-05949-4.pdf
https://www.ams.org/journals/proc/2001-129-10/S0002-9939-01-05949-4/home.html
https://dialnet.unirioja.es/servlet/articulo?codigo=735445
https://www.ams.org/proc/2001-129-10/S0002-9939-01-05949-4/S0002-9939-01-05949-4.pdf
https://pergamos.lib.uoa.gr/uoa/dl/object/3054565

Extension Properties for the Space of Compact Operators: Extension properties for the space of compact operators.

Authors: Timur Oikhberg Haskell P. Rosenthal

Source: Journal of Functional Analysis. 179:251-308

Subject Terms: Projective and injective objects in functional analysis, Complete Separable Extension Property, Operator spaces (= matricially normed spaces), Operator spaces and completely bounded maps, Dilations, extensions, compressions of linear operators, Mixed Separable Extension Property, 0101 mathematics, Extendable Local Reflexivity, Spaces of operators, tensor products, approximation properties, 01 natural sciences, Analysis

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Access URL: https://www.sciencedirect.com/science/article/pii/S0022123600936747
https://core.ac.uk/display/82471472

Description of morphisms from a Hilbert module over aC*-algebra into this algebra: Description of morphisms from a Hilbert module over a \(C^*\)-algebra into this algebra

Authors: A. Ya. Khelemskii M. E. Polyakov

Source: Mathematical Notes. 68:481-487

Subject Terms: projective module, \(C^*\)-modules, Projective and injective objects in functional analysis, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), Hilbert module over a \(C^*\)-algebra, elementary projection, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/1637742
https://doi.org/10.1007/bf02676728
https://link.springer.com/content/pdf/10.1007/BF02676728.pdf
https://link.springer.com/article/10.1007/BF02676728

Tensor Algebras, Induced Representations, and the Wold Decomposition: Tensor algebras, induced representations, and the Wold decomposition

Authors: Paul S. Muhly Baruch Solel

Source: Canadian Journal of Mathematics. 51:850-880

Subject Terms: invariant subspace structure, Beurling's theorem, Abstract operator algebras on Hilbert spaces, Projective and injective objects in functional analysis, Other ''noncommutative' mathematics based on \(C^*\)-algebra theory, Methods of category theory in functional analysis, Canonical models for contractions and nonselfadjoint linear operators, 16. Peace & justice, 01 natural sciences, Wold decomposition, General theory of \(C^*\)-algebras, induced representations, tensor algebras over \(C^*\)-correspondences, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Dilations, extensions, compressions of linear operators, Linear spaces of operators, 0101 mathematics, Tensor products of \(C^*\)-algebras, Hilbert space isometries, Automorphisms of selfadjoint operator algebras, subalgebras of Cuntz-Krieger algebras

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Access URL: https://zbmath.org/1346338
https://doi.org/10.4153/cjm-1999-037-8
http://users.uoa.gr/~akatavol/newtexfil/muhlyetc/muhly0916.pdf
https://cms.math.ca/cjm/abstract/pdf/149111.pdf
https://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/tensor-algebras-induced-representations-and-the-wold-decomposition/232B4ED160EA1BBD3A2CE0FB4EFB2682

The problem of the existence of sufficiently many injective Frechet modules over non-normed Frechet algebras: The problem of the existence of sufficiently many injective Fréchet modules over non-normed Fréchet algebras

Authors: A Yu Pirkovskii

Source: Izvestiya: Mathematics. 62:773-788

Subject Terms: periodic elements, Projective and injective objects in functional analysis, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis), injective metrizable hypermodule, irreducible Stein spaces, Projectives and injectives (category-theoretic aspects), 0101 mathematics, injective objects, nonexistence of divisible Banach modules, 01 natural sciences, algebras of holomorphic functions, category of Fréchet modules over certain Fréchet algebras

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Access URL: http://ui.adsabs.harvard.edu/abs/1998IzMat..62..773P/abstract
https://iopscience.iop.org/article/10.1070/IM1998v062n04ABEH000194
http://iopscience.iop.org/article/10.1070/IM1998v062n04ABEH000194/pdf

On constructing injective spaces of type C(K): On constructing injective spaces of type \(C(K)\)

Authors: J.L. Blasco C. Ivorra

Source: Indagationes Mathematicae. 9:161-172

Subject Terms: Mathematics(all), Projective and injective objects in functional analysis, injective spaces of type \(C(K)\), 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0019357798800141
https://www.sciencedirect.com/science/article/pii/S0019357798800141

Projective modules and Hilbert spaces with a Nevanlinna-Pick kernel

Authors: Scott McCullough Robert S. Clancy

Source: Proceedings of the American Mathematical Society. 126:3299-3305

Subject Terms: Projective and injective objects in functional analysis, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), commutant lifting theorem, diagonal Nevanlinna-Pick (NP) kernel, regular representation, Dilations, extensions, compressions of linear operators, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Hilbert modules, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://www.ams.org/proc/1998-126-11/S0002-9939-98-04624-3/S0002-9939-98-04624-3.pdf
https://zbmath.org/1201840
https://doi.org/10.1090/s0002-9939-98-04624-3
https://www.ams.org/proc/1998-126-11/S0002-9939-98-04624-3/S0002-9939-98-04624-3.pdf
https://www.ams.org/journals/proc/1998-126-11/S0002-9939-98-04624-3/home.html
https://dialnet.unirioja.es/servlet/articulo?codigo=459193

Discovering the algebraic structure on the metric injective envelope of a real Banach space

Authors: CIANCIARUSO, Filomena DE PASCALE E.

Source: Topology and its Applications. 78:285-292

Subject Terms: Normed linear spaces and Banach spaces, Banach lattices, linear injective envelope, Banach space structure, Projective and injective objects in functional analysis, real injective Banach space, Metric injective envelope, Geometry and Topology, Linear injective envelope, Theorems of Hahn-Banach type, extension and lifting of functionals and operators, 0101 mathematics, Special maps on metric spaces, 01 natural sciences, injective metric envelope

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0166864196001575
https://www.sciencedirect.com/science/article/pii/S0166864196001575
https://hdl.handle.net/20.500.11770/157043

Projectivity and lifting of Hilbert module maps

Authors: Douglas N. Clark

Source: Annales Polonici Mathematici. 66:43-48

Subject Terms: Structure theory of linear operators, category of Hilbert modules similar to contractive ones, Projective and injective objects in functional analysis, polynomially bounded, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), projective, Dilations, extensions, compressions of linear operators, 0101 mathematics, similarity to a contraction, \(2\times 2\) operator matrix, 01 natural sciences, lifting theorem, isometric Hilbert modules

File Description: application/xml

Access URL: https://www.impan.pl/shop/publication/transaction/download/product/109673?download.pdf
https://zbmath.org/1011365
https://doi.org/10.4064/ap-66-1-43-48
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-apmv66z1p43bwm
https://eudml.org/doc/270024