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

2016/07/07 by Dongyang Chen, Chen, Dongyang, Javier Alejandro Chávez‐Domínguez +3 · 2 citations
Mathematics · #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1607.02161

openalex publication_date 2016/07/07 · openalex created_date 2016/07/22 · openalex updated_date 2026/07/28

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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