A New Class of Banach Spaces and Its Relation with Some Geometric Properties of Banach Spaces

M. Salimi and S. M. Moshtaghioun

Abstract and Applied Analysis, 2012, vol. 2012, 1-8

Abstract:

By introducing the concept of L -limited sets and then L -limited Banach spaces, we obtain some characterizations of it with respect to some well-known geometric properties of Banach spaces, such as Grothendieck property, Gelfand-Phillips property, and reciprocal Dunford-Pettis property. Some complementability of operators on such Banach spaces are also investigated.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:212957

DOI: 10.1155/2012/212957

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