Search Results - Classical Banach spaces in the general theory

Lipschitz-free spaces over properly metrizable spaces and approximation properties

Authors: Smith, Richard J. Talimdjioski, Filip

Source: Proceedings of the American Mathematical Society. 152:4821-4834

Subject Terms: Mathematics - Functional Analysis, approximation property, 46B20, 46B28, FOS: Mathematics, Lipschitz-free space, Classical Banach spaces in the general theory, Spaces of operators, tensor products, approximation properties, Functional Analysis (math.FA)

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Access URL: http://arxiv.org/abs/2308.14121
https://zbmath.org/7928600
https://doi.org/10.1090/proc/16956

LOCAL AND UNIFORM NEAR SMOOTHNESS OF SOME BANACH SPACES: Local and uniform near smoothness of some Banach spaces

Authors: Leszek Olszowy

Source: Tamkang Journal of Mathematics. 28:253-263

Subject Terms: modulus of near smoothness, Geometry and structure of normed linear spaces, measure of noncompactness, local near uniform smoothness, 0101 mathematics, Classical Banach spaces in the general theory, property \(H^*\), 01 natural sciences

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Access URL: https://journals.math.tku.edu.tw/index.php/TKJM/article/download/4247/1335
https://zbmath.org/1160514

Ordinal indices in Banach spaces

Authors: Odell, E. University of Texas at Austin. USA

Contributors: Odell, E. University of Texas at Austin. USA

Source: Dehesa. Repositorio Institucional de la Universidad de Extremadura
Universidad de Extremadura (UEX)

Subject Terms: universal space, Isomorphic theory (including renorming) of Banach spaces, Banach space, 1202.03 Álgebra y Espacios de Banach, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, Índices ordinales, Ordinal indices, Topology of special sets defined by functions, ordinal index, Espacios de Banach, Function spaces in general topology, Banach spaces, Ordinal and cardinal numbers, Research exposition (monographs, survey articles) pertaining to functional analysis, Classical Banach spaces in the general theory

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Access URL: http://hdl.handle.net/10662/17390
https://zbmath.org/2109253

$$\varepsilon $$-isometries in $$l^n_1$$: \(\varepsilon\)-isometries in \(l^n_1\)

Authors: Vestfrid, Igor A.

Source: Aequationes mathematicae. 98:1647-1655

Subject Terms: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), \(\varepsilon\)-isometry, Isometric theory of Banach spaces, Classical Banach spaces in the general theory

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The average distance property of classical Banach spaces

Authors: Aicke Hinrichs

Source: Bulletin of the Australian Mathematical Society. 62:119-134

Subject Terms: Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry), Banach space, average distance property, Isometric theory of Banach spaces, 0101 mathematics, Classical Banach spaces in the general theory, rendezvous number, 01 natural sciences

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Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/252261D30D15D385B27A118BB1E7CD52/S0004972700018530a.pdf/div-class-title-the-average-distance-property-of-classical-banach-spaces-div.pdf
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/252261D30D15D385B27A118BB1E7CD52/S0004972700018530a.pdf/div-class-title-the-average-distance-property-of-classical-banach-spaces-div.pdf
https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/average-distance-property-of-classical-banach-spaces/252261D30D15D385B27A118BB1E7CD52
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0004972700018530

K -Theory for Algebras of Operators on Banach Spaces: \(K\)-theory for algebras of operators on Banach spaces

Authors: Laustsen, Niels Jakob

Source: Journal of the London Mathematical Society. 59:715-728

Subject Terms: ideal of strictly singular operators, short exact sequence, 47D30, 19K99, 46B25, 47A53, 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, Fredholm operator of non-zero index, Algebras of operators on Banach spaces and other topological linear spaces, \(K\)-theory and operator algebras, \(K\)-groups, closed ideal of operators, FOS: Mathematics, (Semi-) Fredholm operators, index theories, 0101 mathematics, Classical Banach spaces in the general theory

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Access URL: http://arxiv.org/pdf/math/9701206v1.pdf
http://arxiv.org/abs/math/9701206
https://ui.adsabs.harvard.edu/abs/1997math......1206L/abstract
https://eprints.lancs.ac.uk/id/eprint/160247/
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610799007206
https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/k-theory-for-algebras-of-operators-on-banach-spaces/00385EF84B55707D78ACB3A2D3181EC1

Uniformly convexifying operators in classical Banach spaces

Authors: Santiago Díaz-Madrigal Manuela Basallote Manuel D. Contreras

Source: Bulletin of the Australian Mathematical Society. 59:225-236

Subject Terms: Operator ideals, uniformly convexifying, Nonassociative topological algebras, finite representability, Linear operators defined by compactness properties, 0101 mathematics, Local theory of Banach spaces, Classical Banach spaces in the general theory, 01 natural sciences, Linear operators in \(C^*\)- or von Neumann algebras, Rademacher cotype and Rademacher type operators

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Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/84FA6AB82BDBA95A467AECD7A2059CA6/S0004972700032846a.pdf/div-class-title-uniformly-convexifying-operators-in-classical-banach-spaces-div.pdf
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/84FA6AB82BDBA95A467AECD7A2059CA6/S0004972700032846a.pdf/div-class-title-uniformly-convexifying-operators-in-classical-banach-spaces-div.pdf
https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/uniformly-convexifying-operators-in-classical-banach-spaces/84FA6AB82BDBA95A467AECD7A2059CA6
http://www.journals.cambridge.org/abstract_S0004972700032846

Polynomial algebras on classical banach spaces: Polynomial algebras on classical Banach spaces

Authors: Petr Hájek

Source: Israel Journal of Mathematics. 106:209-220

Subject Terms: uniformly approximable, 0101 mathematics, Infinite-dimensional holomorphy, Classical Banach spaces in the general theory, 01 natural sciences

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Access URL: https://zbmath.org/1216494
https://doi.org/10.1007/bf02773469
https://link.springer.com/content/pdf/10.1007%2FBF02773469.pdf
https://users.math.cas.cz/~hajek/polalg.pdf
http://users.math.cas.cz/~hajek/polalg.pdf
https://link.springer.com/article/10.1007/BF02773469

A remark on universal spaces

Authors: Bosznay, A. P.

Source: Publicationes Mathematicae Debrecen. 27:251-253

Subject Terms: universal space, Banach spaces of continuous, differentiable or analytic functions, 0101 mathematics, Classical Banach spaces in the general theory, 01 natural sciences, Banach-Mazur theorem

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Access URL: https://zbmath.org/3714328

Contributions to the theory of the classical Banach spaces

Authors: A Pelczyński Joram Lindenstrauss

Source: Journal of Functional Analysis. 8:225-249

Subject Terms: Banach spaces of continuous, differentiable or analytic functions, 0101 mathematics, Classical Banach spaces in the general theory, 01 natural sciences, Analysis, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

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Access URL: https://core.ac.uk/display/82292784
https://www.sciencedirect.com/science/article/pii/0022123671900115

A Thought on Generalized Morrey Spaces: A thought on generalized Morrey spaces

Authors: Yoshihiro Sawano

Source: Journal of the Indonesian Mathematical Society. :210-281

Subject Terms: Mathematics - Functional Analysis, boundedness properties of operators, 42B35, 42B25, FOS: Mathematics, Inequalities for sums, series and integrals, Morrey spaces, generalized Morrey spaces, 0101 mathematics, Classical Banach spaces in the general theory, 01 natural sciences, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Functional Analysis (math.FA)

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Access URL: https://jims-a.org/index.php/jimsa/article/download/819/pdf
http://arxiv.org/abs/1812.08394
https://zbmath.org/7289194
https://doi.org/10.22342/jims.25.3.819.210-281
https://jims-a.org/index.php/jimsa/article/download/819/pdf
https://jims-a.org/index.php/jimsa/article/view/819
https://ui.adsabs.harvard.edu/abs/2018arXiv181208394S/abstract

Asymptotically isometric copies of c0 and l1 in certain Banach spaces: Asymptotically isometric copies of \(c_{0}\) and \(l^{1}\) in certain Banach spaces.

Authors: Dongyang Chen

Source: Journal of Mathematical Analysis and Applications. 284:618-625

Subject Terms: Applied Mathematics, Isometric theory of Banach spaces, 0101 mathematics, Classical Banach spaces in the general theory, Spaces of operators, tensor products, approximation properties, asymptotically isometric copy, 01 natural sciences, Analysis

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Access URL: https://zbmath.org/1976015
https://doi.org/10.1016/s0022-247x(03)00368-8
https://www.sciencedirect.com/science/article/pii/S0022247X03003688

A construction of a Banach space C(K) with few operators: A construction of a Banach space \(C(K)\) with few operators

Authors: Grzegorz Plebanek

Source: Topology and its Applications. 143:217-239

Subject Terms: Topological representations of algebraic systems, continuum hypothesis, Isomorphic theory (including renorming) of Banach spaces, zero-dimensional space, Compactness, Nonseparable Banach spaces, Continuum hypothesis and Martin's axiom, Stone spaces (Boolean spaces) and related structures, \(C(K)\)-space, 01 natural sciences, Function spaces in general topology, weak multiplier, indecomposable Banach space, hyperplane conjecture, Structure theory of Boolean algebras, Geometry and Topology, 0101 mathematics, Classical Banach spaces in the general theory, hereditarily indecomposable space, lattice

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Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0166864104000616
https://core.ac.uk/display/82583147
https://www.sciencedirect.com/science/article/pii/S0166864104000616

Variational calculus on Banach spaces

Authors: A V Uglanov

Source: Sbornik: Mathematics. 191:1527-1540

Subject Terms: Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), Measures and integration on abstract linear spaces, Existence theories for problems in abstract spaces, 0101 mathematics, Classical Banach spaces in the general theory, 01 natural sciences

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Access URL: https://zbmath.org/1592310
https://doi.org/10.1070/sm2000v191n10abeh000518
http://www.osti.gov/scitech/biblio/21202966
http://ui.adsabs.harvard.edu/abs/2000SbMat.191.1527U/abstract
http://stacks.iop.org/1064-5616/191/i=10/a=A07?key=crossref.adc12edcaf1c89a8e1e4e5410ea19bfa

On Approximate ℓ 1 Systems in Banach Spaces: On approximate \(\ell_1\) systems in Banach spaces

Authors: Denka Kutzarova Stephen J. Dilworth Przemysław Wojtaszczyk

Source: Journal of Approximation Theory. 114:214-241

Subject Terms: Mathematics(all), Numerical Analysis, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), 1-unconditional basis, Applied Mathematics, quasi-greedy basis, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, Isometric theory of Banach spaces, \(\mu\)-approximate \(\ell_1\) system, 0101 mathematics, Classical Banach spaces in the general theory, 01 natural sciences, Analysis

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Access URL: https://zbmath.org/1763670
https://doi.org/10.1006/jath.2001.3641
https://documat.unirioja.es/servlet/articulo?codigo=315051
https://experts.illinois.edu/en/publications/on-approximate-%E2%84%931-systems-in-banach-spaces
https://core.ac.uk/display/82043256
https://dblp.uni-trier.de/db/journals/jat/jat114.html#DilworthKW02
https://www.sciencedirect.com/science/article/abs/pii/S002190450193641X
https://experts.illinois.edu/en/publications/on-approximate-%E2%84%93sub1sub-systems-in-banach-spaces

finite representability of p in quotients of banach spaces: Finite representability of \(\ell_p\) in quotients of Banach spaces

Authors: Petr Habala Nicole Tomczak-Jaegermann

Source: Positivity. 5(1):75-94

Subject Terms: Geometry and structure of normed linear spaces, finitely block representable, asymptotic approach, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, Local theory of Banach spaces, Classical Banach spaces in the general theory, interpolation

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Access URL: https://zbmath.org/1582160
https://doi.org/10.1023/a:1009834625767
https://link.springer.com/article/10.1023/A:1009834625767

Banach spaces of continuous functions with few operators

Authors: Piotr Koszmider

Source: Mathematische Annalen. 330:151-183

Subject Terms: continuum hypothesis, Isomorphic theory (including renorming) of Banach spaces, zero-dimensional space, Compactness, Nonseparable Banach spaces, Continuum hypothesis and Martin's axiom, Stone spaces (Boolean spaces) and related structures, \(C(K)\)-space, Boolean algebra, 01 natural sciences, Function spaces in general topology, weak multiplier, indecomposable Banach space, hyperplane conjecture, Structure theory of Boolean algebras, 0101 mathematics, Classical Banach spaces in the general theory, hereditarily indecomposable space

File Description: application/xml

Access URL: https://repositorio.usp.br/item/001414752
https://link.springer.com/article/10.1007%2Fs00208-004-0544-z
https://dialnet.unirioja.es/servlet/articulo?codigo=2806212

Banach spaces not containing l1: Banach spaces not containing \(\ell_{1}\)

Authors: Mujica, Jorge

Source: Ark. Mat. 41, no. 2 (2003), 363-374

Subject Terms: Josefsson-Nissenzweig theorem, copy of \(\ell_1\), Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, Hagler-Johnson theorem, 0101 mathematics, Classical Banach spaces in the general theory, 01 natural sciences

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/2057356
https://doi.org/10.1007/bf02390820
https://link.springer.com/article/10.1007/BF02390820
https://projecteuclid.org/journals/arkiv-for-matematik/volume-41/issue-2/Banach-spaces-not-containing-l1/10.1007/BF02390820.full
http://projecteuclid.org/euclid.afm/1485898810
http://ui.adsabs.harvard.edu/abs/2003ArM....41..363M/abstract
http://projecteuclid.org/euclid.afm/1485898810

Hyperspaces of Banach Spaces with the Attouch—Wets Topology: Hyperspaces of Banach spaces with the Attouch-Wets topology

Authors: Masato Yaguchi Katsuro Sakai

Source: Set-Valued Analysis. 12:329-344

Subject Terms: Banach space, hyperspace, Hyperspaces in general topology, 0101 mathematics, Classical Banach spaces in the general theory, Attouch-Wets topology, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2091581
https://doi.org/10.1023/b:svan.0000031354.48064.0b
https://link.springer.com/article/10.1023%2FB%3ASVAN.0000031354.48064.0b

Covering a compact set in a Banach space by an operator range of a Banach space with basis

Authors: V. P. Fonf V. V. Shevchyk William B. Johnson et al.

Source: Transactions of the American Mathematical Society. 358:1421-1434

Subject Terms: approximation property, compact factorization, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, compact set, 0101 mathematics, Spaces of operators, tensor products, approximation properties, Classical Banach spaces in the general theory, 01 natural sciences, Compactness in Banach (or normed) spaces

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Access URL: https://www.ams.org/tran/2006-358-04/S0002-9947-05-04083-3/S0002-9947-05-04083-3.pdf
https://zbmath.org/2242538
https://doi.org/10.1090/s0002-9947-05-04083-3
https://www.ams.org/journals/tran/2006-358-04/S0002-9947-05-04083-3/home.html
https://www.jstor.org/stable/3845531
https://suw.biblos.pk.edu.pl/resourceDetailsBPP&rId=22589
https://dialnet.unirioja.es/servlet/articulo?codigo=2205971
https://www.ams.org/tran/2006-358-04/S0002-9947-05-04083-3/S0002-9947-05-04083-3.pdf