Space of Operators and Property (MB)  

作　　者：Manijeh Esfahani Bahreini Manijeh Esfahani Bahreini(Department of Mathematics, Khansar Faculty of Mathematics and Computer Sciences, Khansar, Ira)

机构地区：[1]Department of Mathematics, Khansar Faculty of Mathematics and Computer Sciences, Khansar, Ira

出　　处：《Advances in Pure Mathematics》2016年第13期948-953,共6页理论数学进展（英文）

摘　　要：In this paper, a new class of Banach spaces, termed as Banach spaces with property (MB), will be introduced. It is stated that a space X has property (MB) if every V -subset of X* is an L-subset of X* . We describe those spaces which have property (MB) . Also, we show that if a Banach space X has property (MB) and Banach space Y does not contain , then every operator is completely continuous.In this paper, a new class of Banach spaces, termed as Banach spaces with property (MB), will be introduced. It is stated that a space X has property (MB) if every V -subset of X* is an L-subset of X* . We describe those spaces which have property (MB) . Also, we show that if a Banach space X has property (MB) and Banach space Y does not contain , then every operator is completely continuous.

关 键 词：L-Sets V -Sets Completely Continuous Operators Unconditionally Converging Operators 

分 类 号：O17[理学—数学]