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arXiv · 1607.02161

Unconditionally $p$-converging operators and Dunford-Pettis Property of order $p$

Dongyang Chen·J. Alejandro Chávez-Domínguez·Lei Li
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Abstract

In the present paper we study unconditionally $p$-converging operators and Dunford-Pettis property of order $p$. New characterizations of unconditionally $p$-converging operators and Dunford-Pettis property of order $p$ are established. Six quantities are defined to measure how far an operator is from being unconditionally $p$-converging. We prove quantitative versions of relationships of completely continuous operators,unconditionally $p$-converging operators and unconditionally converging operators. We further investigate possible quantifications of the Dunford-Pettis property of order $p$.

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Dongyang Chen, J. Alejandro Chávez-Domínguez, Lei Li. 2016-07-07. Unconditionally $p$-converging operators and Dunford-Pettis Property of order $p$. https://arxiv.org/abs/1607.02161

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