wMB-PROPERTY OF ORDER p IN BANACH SPACES

被引：0
|
作者：
Esfahani, Manijeh Bahreini [1 ]
机构：
[1] Univ Khansar, Dept Math, Khansar, Iran
来源：
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 01期
关键词：
p-Convergent operators; weakly-p-L-sets; Dunford-Pettis property of order p; DUNFORD-PETTIS SETS; OPERATORS;
D O I：
10.46793/KgJMat2201.029E
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a new property of Banach spaces called wMB-property of order p (1 <= p < infinity). A necessary and sufficient condition for a Banach space to have the wMB-property of order p is given. We study p-convergent operators and weakly-p-L-sets. Banach spaces with the wMB-property of order p are characterized. Also, the Dunford-Pettis property of order p and DP*-property of order p are studied in Banach spaces. Finally we show the relation between Pelczynski's property (V) and wMB-property of order p.
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页码：29 / 37
页数：9
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