Quantification of the Banach-Saks property

DOI10.1016/j.jfa.2014.12.003zbMath1357.46009arXiv1406.0684OpenAlexW2051422489MaRDI QIDQ2261945

Hana Bendová, Jiří Spurný, Ondřej F. K. Kalenda

Publication date: 13 March 2015

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0684

zbMATH Keywords

quantitative versions\(\ell_1\)-spreading modeluniformly weakly convergent sequenceweak Banach-Saks set

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (9)

Measures of weak non-compactness in spaces of nuclear operators ⋮ Quantification of Banach-Saks properties of higher orders ⋮ On quantitative Gelfand-Phillips property and Phillips property ⋮ Quantifying properties (K) and (μs$\mu ^{s}$) ⋮ A quantitative extension of a theorem of Valdivia on weak compactness ⋮ Quantitative weakly compact sets and Banach-Saks sets in \(\ell_1\) ⋮ A QUANTITATIVE EXTENSION OF SZLENK’S THEOREM ⋮ \((1+)\)-complemented, \((1+)\)-isomorphic copies of \(L_1\) in dual Banach spaces ⋮ Quantifications of boundedly complete and shrinking bases

Cites Work

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• Arithmetic separation and Banach-Saks sets
• Seminorm related to Banach-Saks property and real interpolation of operators
• An extension of the Krein--Smulian theorem
• Measures of weak noncompactness in Banach spaces
• Tsirelson's space. With an appendix by J. Baker, O. Slotterbeck and R. Aron
• Convex unconditionality and summability of weakly null sequences
• Quantitative Dunford-Pettis property
• Quantitative Grothendieck property
• Mean separations in Banach spaces under abstract interpolation and extrapolation
• The quantitative difference between countable compactness and compactness
• The convex hull of a Banach-Saks set
• Distance to spaces of continuous functions
• Banach spaces which can be given an equivalent uniformly convex norm
• A quantitative version of Krein's theorem
• Banach space theory. The basis for linear and nonlinear analysis
• A quantitative version of James's Compactness Theorem
• The distance $dist (\mathcal{B},X)$ when $\mathcal{B}$ is a boundary of $B(X^{**})$
• Seminorms related to weak compactness and to Tauberian operators
• Alternate signs Banach-Saks property and real interpolation of operators
• Sur les suites faiblement convergentes dans l'espace L
• On reflexivity and summability
• The Banach-Saks Theorem in C(S)
• Reflexivity and summability
• Functional analysis and infinite-dimensional geometry

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