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arXiv · 1701.00552

L-Dunford-Pettis property in Banach spaces

A. Retbi·B. El Wahbi
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Abstract

In this paper, we introduce and study the concept of L-Dunford-Pettis sets and L-Dunford-Pettis property in Banach spaces. Next, we give a characterization of the L-Dunford-Pettis property with respect to some well-known geometric properties of Banach spaces. Finally, some complementability of operators on Banach spaces with the L-Dunford-Pettis property are also investigated

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A. Retbi, B. El Wahbi. 2017-01-02. L-Dunford-Pettis property in Banach spaces. https://arxiv.org/abs/1701.00552

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