A note on measures related to compactness and the Banach-Saks property in l1

被引：0

作者：

Kryczka, Andrzej ^{[1
]}

机构：

[1] Marie Curie Sklodowska Univ, Inst Math, PL-20031 Lublin, Poland

来源：

ARCHIV DER MATHEMATIK | 2023年 / 120卷 / 06期

关键词：

Measure of weak noncompactness; Banach-Saks property; Bessaga-Pelczynski selection principle; Schur property;

D O I：

10.1007/s00013-023-01862-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：615 / 618

页数：4

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