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

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

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

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

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

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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

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

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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

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

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

Injective spaces of real-valued functions with the baire property: Injective spaces of real-valued functions with the Baire property

Authors: C. Ivorra Jose L. Blasco

Source: Israel Journal of Mathematics. 91:341-348

Subject Terms: certain Banach spaces are shown to be non-injective, Projective and injective objects in functional analysis, 0101 mathematics, injectivity of spaces of real-valued Borel functions, 01 natural sciences, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), functions with the Baire property

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Access URL: https://zbmath.org/820107
https://doi.org/10.1007/bf02761655
https://link.springer.com/article/10.1007%2FBF02761655

H1-PROJECTIVE SPACES: \(H^ 1\)-projective spaces

Authors: Omran Kouba

Source: The Quarterly Journal of Mathematics. 41:295-312

Subject Terms: Spaces of vector- and operator-valued functions, Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, Projective and injective objects in functional analysis, Tensor products in functional analysis, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/54539
https://academic.oup.com/qjmath/article-abstract/41/3/295/1542599

Injective HilbertC∗-modules: Injective Hilbert \(C^*\)-modules

Authors: Lin, Hua Xin

Source: Pacific J. Math. 154, no. 1 (1992), 131-164

Subject Terms: monotone complete, General theory of \(C^*\)-algebras, 46L05, self-dual Hilbert \(A\)-module, contractive module maps, 46H25, 46M20, 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, injective modules, 0101 mathematics, 01 natural sciences

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Access URL: http://msp.org/pjm/1992/154-1/pjm-v154-n1-p07-s.pdf
https://msp.org/pjm/1992/154-1/pjm-v154-n1-p07-p.pdf
http://projecteuclid.org/download/pdf_1/euclid.pjm/1102635734
https://msp.org/pjm/1992/154-1/p07.xhtml
https://projecteuclid.org/download/pdf_1/euclid.pjm/1102635734
https://projecteuclid.org/journals/pacific-journal-of-mathematics/volume-154/issue-1/Injective-Hilbert-Cast-modules/pjm/1102635734.full
http://projecteuclid.org/euclid.pjm/1102635734

Fréchet Injective Spaces of Continuous Functions: Fréchet injective spaces of continuous functions

Authors: Pawel Domański

Source: Results in Mathematics. 18:217-230

Subject Terms: injective Fréchet spaces, Locally convex Fréchet spaces and (DF)-spaces, Projective and injective objects in functional analysis, Topological linear spaces of continuous, differentiable or analytic functions, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/7276
https://link.springer.com/article/10.1007/BF03323167
https://link.springer.com/content/pdf/10.1007/BF03323167.pdf

Projective objects in categories of locally convex spaces

Authors: S. M. Berger

Source: Mathematical Notes of the Academy of Sciences of the USSR. 39:62-66

Subject Terms: reflective subcategories, projective objects in the prevariety of locally convex spaces, Projective and injective objects in functional analysis, 0101 mathematics, Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.), 01 natural sciences

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Access URL: https://zbmath.org/4021943
https://doi.org/10.1007/bf01647634
https://link.springer.com/content/pdf/10.1007/BF01647634.pdf
https://link.springer.com/article/10.1007/BF01647634

Injective and projective Banach modules

Authors: A.W.M. Graven

Source: Indagationes Mathematicae (Proceedings). 82:253-272

Subject Terms: injective and projective Banach modules, Projective and injective objects in functional analysis, free module, extension property, L1(G)-modules, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), Banach algebra, multipliers, injective envelope, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/3640343
https://www.sciencedirect.com/science/article/pii/S1385725879800219
http://www.sciencedirect.com/science/article/pii/S1385725879800219

On the injective C(T)-spaces: On the injective \(C(T)\)-spaces

Authors: Pawe klf Domański

Source: Indagationes Mathematicae. 2:289-299

Subject Terms: Mathematics(all), Locally convex Fréchet spaces and (DF)-spaces, Projective and injective objects in functional analysis, topological properties of completely regular topological spaces, Topological linear spaces of continuous, differentiable or analytic functions, 0101 mathematics, 01 natural sciences, compact- open topology, Fréchet injective space

File Description: application/xml

Access URL: https://zbmath.org/57311
https://doi.org/10.1016/0019-3577(91)90017-2
https://core.ac.uk/display/82629390
https://www.sciencedirect.com/science/article/pii/0019357791900172
https://www.sciencedirect.com/science/article/abs/pii/0019357791900172

The metric injective hulls of normed spaces

Authors: N.V. Rao

Source: Topology and its Applications. 46:13-21

Subject Terms: Normed linear spaces and Banach spaces, Banach lattices, Projective and injective objects in functional analysis, Metric injective hull of a normal space, complete lattice hull, Geometry and Topology, injective hulls in normed linear spaces with contractions as morphisms, extremal points of the dual ball, 0101 mathematics, Special maps on metric spaces, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/62950
https://doi.org/10.1016/0166-8641(92)90036-y
https://www.sciencedirect.com/science/article/pii/016686419290036Y

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

Projective Fréchet modules with the approximation property

Authors: Yu V Selivanov

Source: Russian Mathematical Surveys. 50:211-213

Subject Terms: unital Fréchet algebra, Projective and injective objects in functional analysis, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), jointly continuous associative multiplication operation, 0101 mathematics, 01 natural sciences, coretraction of a projective \(A\)-module

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Access URL: https://zbmath.org/859525
https://doi.org/10.1070/rm1995v050n01abeh001672
http://ui.adsabs.harvard.edu/abs/1995RuMaS..50..211S/abstract

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

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

File Description: application/xml

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