On a difference between quantitative weak sequential completeness and the quantitative Schur property

DOI10.1090/S0002-9939-2012-11175-XzbMath1283.46009arXiv1103.2975OpenAlexW2027973842MaRDI QIDQ2845860

Jiří Spurný, Ondřej F. K. Kalenda

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2975

zbMATH Keywords

Schur property\(L\)-embedded Banach spacequantitative versions of weak sequential completenessweakly sequentially complete Banach spacequantitative versions of the Schur property

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (14)

Complexity of distances: Theory of generalized analytic equivalence relations ⋮ Lipschitz-free spaces and Schur properties ⋮ Quantitative positive Schur property in Banach lattices ⋮ Higher projective tensor products of $c_0$ ⋮ On quantitative Gelfand-Phillips property and Phillips property ⋮ Quantifying properties (K) and (μs$\mu ^{s}$) ⋮ Quantitative Dunford-Pettis property ⋮ Quantitative Grothendieck property ⋮ Tsirelson-like spaces and complexity of classes of Banach spaces ⋮ \((1+)\)-complemented, \((1+)\)-isomorphic copies of \(L_1\) in dual Banach spaces ⋮ Topological properties in tensor products of Banach spaces ⋮ ON QUANTITATIVE SCHUR AND DUNFORD–PETTIS PROPERTIES ⋮ Quantifications of boundedly complete and shrinking bases ⋮ $\varepsilon $-weakly precompact sets in Banach spaces

Cites Work

• On quantification of weak sequential completeness
• \(M\)-ideals in Banach spaces and Banach algebras
• Operators between subspaces and quotients of L^1
• Functional analysis and infinite-dimensional geometry
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