Search Results - "Projective and injective objects in functional analysis"
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1
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
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Access URL: http://arxiv.org/abs/2303.17050
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2
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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3
Authors:
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 -
4
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 -
5
Authors:
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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6
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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7
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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8
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 -
9
Authors:
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 -
10
Authors:
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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11
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 -
12
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 -
13
Authors:
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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14
Authors:
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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15
Authors:
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 -
16
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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17
Authors:
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
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18
Authors:
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
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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 -
19
Authors:
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
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20
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
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