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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Format: | Article |
Language: | English |
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Wiley
2004-01-01
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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. |
format | Article |
id | doaj-art-26b1f1240fe246c4845b447b380039dd |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2004-01-01 |
publisher | Wiley |
record_format | Article |
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 |