Support functionals and their relation to the Radon-Nikodym property

In this paper, we examine the Radon-Nikodym property and its relation to the Bishop-Phelps theorem for complex Banach spaces. We also show that the Radon-Nikodym property implies the Bishop-Phelps property in the complex case.

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Main Author: I. Sadeqi
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171204205191
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author I. Sadeqi
author_facet I. Sadeqi
author_sort I. Sadeqi
collection DOAJ
description In this paper, we examine the Radon-Nikodym property and its relation to the Bishop-Phelps theorem for complex Banach spaces. We also show that the Radon-Nikodym property implies the Bishop-Phelps property in the complex case.
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institution Kabale University
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1687-0425
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publishDate 2004-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-26b1f1240fe246c4845b447b380039dd2025-02-03T06:08:18ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-0120041682783210.1155/S0161171204205191Support functionals and their relation to the Radon-Nikodym propertyI. Sadeqi0Departement of Mathematics, Sahand University of Technology, P.O. Box 51335-1996, Tabriz, IranIn this paper, we examine the Radon-Nikodym property and its relation to the Bishop-Phelps theorem for complex Banach spaces. We also show that the Radon-Nikodym property implies the Bishop-Phelps property in the complex case.http://dx.doi.org/10.1155/S0161171204205191
spellingShingle I. Sadeqi
Support functionals and their relation to the Radon-Nikodym property
International Journal of Mathematics and Mathematical Sciences
title Support functionals and their relation to the Radon-Nikodym property
title_full Support functionals and their relation to the Radon-Nikodym property
title_fullStr Support functionals and their relation to the Radon-Nikodym property
title_full_unstemmed Support functionals and their relation to the Radon-Nikodym property
title_short Support functionals and their relation to the Radon-Nikodym property
title_sort support functionals and their relation to the radon nikodym property
url http://dx.doi.org/10.1155/S0161171204205191
work_keys_str_mv AT isadeqi supportfunctionalsandtheirrelationtotheradonnikodymproperty