A note on measures related to compactness and the Banach–Saks property in $$l_{1}$$

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چکیده

Abstract Using the Bessaga–Pełczyński selection principle, we give an alternative and concise proof of results obtained by Tu (Arch Math, 117:315–322, 2021) that several quantities defined for bounded subsets Banach spaces related to compactness, weak Banach–Saks property coincide in $$l_{1}$$ l 1 .

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ژورنال

عنوان ژورنال: Archiv der Mathematik

سال: 2023

ISSN: ['0003-889X', '1420-8938']

DOI: https://doi.org/10.1007/s00013-023-01862-1