Limited p-converging operators and relation with some geometric properties of Banach spaces

被引:1
|
作者
Dehghani, Mohammad B. [1 ]
Moshtaghioun, Seyed M. [1 ]
机构
[1] Yazd Univ, Dept Math, Univ Blvd,POB 89195-741, Yazd 97514, Iran
关键词
Gelfand-Phillips property; Schur property; p-Schur property; weakly p-compact set; reciprocal Dunford-Pettis property of order p; SCHUR PROPERTY; ORDER P; ASTERISK; SUBSPACES;
D O I
10.14712/1213-7243.2021.030
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
By using the concepts of limited p-converging operators between two Banach spaces X and Y, L-p-sets and L-p-limited sets in Banach spaces, we obtain some characterizations of these concepts relative to some well-known geometric properties of Banach spaces, such as *-Dunford-Pettis property of order p and Pelczynski's property of order p, 1 <= p < infinity.
引用
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页码:417 / 430
页数:14
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