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

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 compleme...

Full description

Bibliographic Details
Main Authors: M. Salimi, S. M. Moshtaghioun
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/212957