wMB-PROPERTY OF ORDER p IN BANACH SPACES
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Published:2022-02
Issue:1
Volume:46
Page:29-37
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ISSN:1450-9628
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Container-title:Kragujevac Journal of Mathematics
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language:
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Short-container-title:KgJMat
Author:
ESFAHANI MANIJEH BAHREINI,
Abstract
In this paper, we introduce a new property of Banach spaces called wMB-property of order p (1 ≤ p < ∞). A necessary and sufficient condition for a Banach space to have the wMB-property of order p is given. We study p-convergent operators and weakly-p-L-sets. Banach spaces with the wMB-property of order p are characterized. Also, the Dunford-Pettis property of order p and DP∗ -property of order p are studied in Banach spaces. Finally we show the relation between Pelczynski’s property (V ) and wMB-property of order p
Publisher
University Library in Kragujevac
Subject
General Mathematics