The strong Dunford-Pettis relatively compact property of order p-Reference-Cited by-同舟云学术

The strong Dunford-Pettis relatively compact property of order p

Published:2023 Issue:22 Volume:37 Page:7339-7349
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Ardakani Halimeh¹,Taghavinejad Khadijeh¹,Rezagholi Sharifeh¹

Affiliation:

1. Department of Mathematics, Payame Noor University, Tehran, Iran

Abstract

We introduce and study Banach lattices with the strong Dunford-Pettis relatively compact property of order p (1 ? p < ?); that is, spaces in which every weakly p-compact and almost Dunford-Pettis set is relatively compact. We also introduce the notion of the weak Dunford-Pettis property of order p and then characterize this property in terms of sequences. In particular, in terms of disjoint weakly compact operators into c0, an operator characterization of those Banach lattices with the weak Dunford-Pettis property of order p is given. Moreover, some results about Banach lattices with the positive Dunford-Pettis relatively compact property of order p are presented

Publisher

National Library of Serbia

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