Strongly exposed points in the unit ball of trace-class operators

A theorem of Arazy shows that every extreme point of the unit ball of trace-class operators is strongly exposed. We give this result a simpler and direct proof here.

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Main Author: Kourosh Nourouzi
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202012929
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author Kourosh Nourouzi
author_facet Kourosh Nourouzi
author_sort Kourosh Nourouzi
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description A theorem of Arazy shows that every extreme point of the unit ball of trace-class operators is strongly exposed. We give this result a simpler and direct proof here.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2002-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-f1cfd46d2e704e45bd37bdda10a83c982025-02-03T01:23:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0130739339710.1155/S0161171202012929Strongly exposed points in the unit ball of trace-class operatorsKourosh Nourouzi0Department of Mathematics, KNT University of Technology, 322 West Mirdamad, Ave. 19696, P.O. Box 15875-4416, Tehran, IranA theorem of Arazy shows that every extreme point of the unit ball of trace-class operators is strongly exposed. We give this result a simpler and direct proof here.http://dx.doi.org/10.1155/S0161171202012929
spellingShingle Kourosh Nourouzi
Strongly exposed points in the unit ball of trace-class operators
International Journal of Mathematics and Mathematical Sciences
title Strongly exposed points in the unit ball of trace-class operators
title_full Strongly exposed points in the unit ball of trace-class operators
title_fullStr Strongly exposed points in the unit ball of trace-class operators
title_full_unstemmed Strongly exposed points in the unit ball of trace-class operators
title_short Strongly exposed points in the unit ball of trace-class operators
title_sort strongly exposed points in the unit ball of trace class operators
url http://dx.doi.org/10.1155/S0161171202012929
work_keys_str_mv AT kouroshnourouzi stronglyexposedpointsintheunitballoftraceclassoperators