Complex extreme points and complex convexity in Orlicz-Bochner function spaces |
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| Authors: | Lili Chen Yunan Cui |
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| Institution: | a Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR Chinab Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, PR China |
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| Abstract: | It is well known that extreme points which are connected with strict convexity of the whole spaces, are the most basic and important geometric points in geometric theory of Banach spaces. In this paper, criteria for complex extreme points, complex strict convexity and complex uniform convexity in Orlicz-Bochner function spaces are given. |
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| Keywords: | 46B20 46E30 |
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