A note on measures related to compactness and the Banach-Saks property in \(l_1\)

DOI10.1007/S00013-023-01862-1zbMath1520.46009MaRDI QIDQ6156374

Andrzej Kryczka

Publication date: 13 June 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Schur propertyBanach-Saks propertymeasure of weak noncompactnessBessaga-Pełczyński selection principle

Mathematics Subject Classification ID

Banach sequence spaces (46B45) Compactness in Banach (or normed) spaces (46B50) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Cites Work

• Unnamed Item
• Arithmetic separation and Banach-Saks sets
• Measures of noncompactness in metric fixed point theory
• Quantitative weakly compact sets and Banach-Saks sets in \(\ell_1\)
• Weak compactness and reflexivity
• A quantitative version of Krein's theorem
• On bases and unconditional convergence of series in Banach spaces
• Banach-Saks properties and spreading models.
• Measure of weak noncompactness and real interpolation of operators

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