Complex rotundity of Orlicz sequence spaces equipped with the p-Amemiya norm |
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| Authors: | Lili Chen Yunan Cui |
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| Affiliation: | a Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China
b Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, PR China |
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| Abstract: | In this paper, two equivalent definitions of complex strongly extreme points in general complex Banach spaces are shown. It is proved that for any Orlicz sequence space equipped with the p-Amemiya norm (1?p<∞, p is odd), complex strongly extreme points of the unit ball coincide with complex extreme points of the unit ball. Moreover, criteria for them in Orlicz sequence spaces equipped with the p-Amemiya norm are given. Criteria for complex mid-point locally uniform rotundity and complex rotundity of Orlicz sequence spaces equipped with the p-Amemiya norm are also deduced. |
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| Keywords: | Orlicz sequence spaces Complex extreme points Complex strongly extreme points p-Amemiya norm |
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