A QUANTITATIVE EXTENSION OF SZLENK’S THEOREM

DOI10.1017/S0004972719000170zbMath1477.46021OpenAlexW2916257483MaRDI QIDQ5232894

Andrzej Kryczka

Publication date: 13 September 2019

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972719000170

zbMATH Keywords

Lebesgue spaceCesàro summabilityBanach-Saks propertyweak compactnessspreading models

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Compactness in Banach (or normed) spaces (46B50) Duality and reflexivity in normed linear and Banach spaces (46B10) Summability in abstract structures (40J05) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (1)

Quantitative weakly compact sets and Banach-Saks sets in \(\ell_1\)

Cites Work

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• OnB-convex Banach spaces
• Measure of weak noncompactness and real interpolation of operators
• Sur les suites faiblement convergentes dans l'espace L
• On reflexivity and summability
• Reflexivity and summability

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