wMB-PROPERTY OF ORDER p IN BANACH SPACES

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...

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Bibliographic Details
Published in:Kragujevac Journal of Mathematics 2022-01, Vol.46 (1), p.29-37
Main Author: ESFAHANI, MANIJEH BAHREINI
Format: Article
Language:English
Online Access:Get full text
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Summary: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
ISSN:1450-9628
2406-3045
DOI:10.46793/KgJMat2201.029E