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Pelczyinski, A. (1962) Banach Spaces on Which Every Unconditionally Converging Operator Is Weakly Compact. Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys., 10, 641-648.

has been cited by the following article:

• TITLE: Space of Operators and Property (MB)

  AUTHORS: Manijeh Esfahani Bahreini

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

  JOURNAL NAME: Advances in Pure Mathematics, Vol.6 No.13, December 15, 2016

  ABSTRACT: 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.