STRONG BANACH-SAKS OPERATORS

被引：0
|
作者：
Hajji, Mohamed [1 ]
机构：
[1] Issat Kasserine, Dept Math & Comp Sci, BP 471, Kasserine 1200, Tunisia
来源：
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY | 2020年 / 26卷 / 04期
关键词：
Banach-Saks; Banach lattice; L-weakly compact; order continuous norm;
D O I：
10.31392/MFAT-npu26_4.2020.05
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a new class of operators, called strong Banach-Saks operators, related to the Banach-Saks and L-weakly compact operators. We first prove that every strong Banach-Saks operator from a Banach space Z into a Banach lattice F is Banach-Saks. Then we show that if F is order continuous, the notions of strong Banach-Saks and Banach-Saks operators coincide. Finally, we close this paper by a new characterization of order continuous Banach lattices.
引用
收藏
页码：341 / 347
页数：7
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