A study of (wV)-like property on Banach spaces

被引：0

作者：

Soltani, Zeinab ^{[1
]}

Alikhani, Morteza ^{[2
]}

机构：

[1] Univ Kashan, Dept Pure Math, Kashan 8731753153, Iran

[2] Univ Isfahan, Dept Math, Esfahan, Iran

来源：

ADVANCES IN OPERATOR THEORY | 2021年 / 6卷 / 02期

关键词：

p-(V) sets; p-(V*) sets; p-Convergent operators; (wV) and (wV*) property; DUNFORD-PETTIS; OPERATORS;

D O I：

10.1007/s43036-020-00116-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, for 1 <= p <= q <= infinity we introduce the concept q-(wV) property of order p on Banach spaces in order to find some characterizations of p-converging operators which have weakly q-precompact adjoints. Also, we define the concept q-(wV*) property of order p on Banach spaces and obtain relations between these properties. Moreover, the stability of infinity-(wV) of order p for projective tensor product is given.

引用

页数：15

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