A note on self-extremal sets in Lp() spaces

We give a necessary condition for a set in Lp() spaces (1 < p < ) to be self-extremal that partially extends our previous results to the case of Lp spaces. Examples of self-extremal sets in Lp()(1 < p < ) are also given.

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Bibliographic Details
Published in:International journal of mathematics and mathematical sciences 2005-01, Vol.2005 (21), p.3521-3526
Main Authors: Nguyen-Khac, Viet, Nguyen-Van, Khiem
Format: Article
Language:English
Online Access:Get full text
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Summary:We give a necessary condition for a set in Lp() spaces (1 < p < ) to be self-extremal that partially extends our previous results to the case of Lp spaces. Examples of self-extremal sets in Lp()(1 < p < ) are also given.
ISSN:0161-1712
1687-0425
DOI:10.1155/IJMMS.2005.3521