A sufficient condition for the Dunford-Pettis property in Banach spaces

In this paper we will give a sufficient condition for Dunford-Pettis property in Banach spaces. More precisely, if Banach space X has a basic, normalized system of vectors (x_n), which is f(n)-approximate l1, then X has the Dunford-Pettis property.

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Autor principal:	N. L. Braha
Formato:	article
Lenguaje:	EN FR IT
Publicado:	Sapienza Università Editrice 2008
Materias:	dunford-pettis property f(n)-approximate l1 sequence Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/b6bd9cf480d247cc838e413cb76ef121
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id	oai:doaj.org-article:b6bd9cf480d247cc838e413cb76ef121
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spelling	oai:doaj.org-article:b6bd9cf480d247cc838e413cb76ef1212021-11-29T17:05:47ZA sufficient condition for the Dunford-Pettis property in Banach spaces1120-71832532-3350https://doaj.org/article/b6bd9cf480d247cc838e413cb76ef1212008-01-01T00:00:00Zhttps://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2008(2)/133-138.pdfhttps://doaj.org/toc/1120-7183https://doaj.org/toc/2532-3350In this paper we will give a sufficient condition for Dunford-Pettis property in Banach spaces. More precisely, if Banach space X has a basic, normalized system of vectors (x_n), which is f(n)-approximate l1, then X has the Dunford-Pettis property.N. L. BrahaSapienza Università Editricearticledunford-pettis propertyf(n)-approximate l1 sequenceMathematicsQA1-939ENFRITRendiconti di Matematica e delle Sue Applicazioni, Vol 28, Iss 2, Pp 133-138 (2008)
institution	DOAJ
collection	DOAJ
language	EN FR IT
topic	dunford-pettis property f(n)-approximate l1 sequence Mathematics QA1-939
spellingShingle	dunford-pettis property f(n)-approximate l1 sequence Mathematics QA1-939 N. L. Braha A sufficient condition for the Dunford-Pettis property in Banach spaces
description	In this paper we will give a sufficient condition for Dunford-Pettis property in Banach spaces. More precisely, if Banach space X has a basic, normalized system of vectors (x_n), which is f(n)-approximate l1, then X has the Dunford-Pettis property.
format	article
author	N. L. Braha
author_facet	N. L. Braha
author_sort	N. L. Braha
title	A sufficient condition for the Dunford-Pettis property in Banach spaces
title_short	A sufficient condition for the Dunford-Pettis property in Banach spaces
title_full	A sufficient condition for the Dunford-Pettis property in Banach spaces
title_fullStr	A sufficient condition for the Dunford-Pettis property in Banach spaces
title_full_unstemmed	A sufficient condition for the Dunford-Pettis property in Banach spaces
title_sort	sufficient condition for the dunford-pettis property in banach spaces
publisher	Sapienza Università Editrice
publishDate	2008
url	https://doaj.org/article/b6bd9cf480d247cc838e413cb76ef121
work_keys_str_mv	AT nlbraha asufficientconditionforthedunfordpettispropertyinbanachspaces AT nlbraha sufficientconditionforthedunfordpettispropertyinbanachspaces
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A sufficient condition for the Dunford-Pettis property in Banach spaces

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