The (𝐷) Property in Banach Spaces

A Banach space 𝐸 is said to have (D) property if every bounded linear operator 𝑇∶𝐹→𝐸∗ is weakly compact for every Banach space 𝐹 whose dual does not contain an isomorphic copy of 𝑙∞. Studying this property in connection with other geometric properties, we show that every Banach space whose dual has...

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Bibliographic Details
Main Author: Danyal Soybaş
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/754531
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