Author(s)

Manijeh Esfahani Bahreini

Department of Mathematics, Khansar Faculty of Mathematics and Computer Sciences, Khansar, Ira.

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.

L-Sets, V -Sets, Completely Continuous Operators, Unconditionally Converging Operators

Bahreini, M. (2016) Space of Operators and Property (MB). Advances in Pure Mathematics, 6, 948-953. doi: 10.4236/apm.2016.613072.