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K-Uniform Rotundity of Sequence Orlicz Spaces

Published online by Cambridge University Press:  20 November 2018

Wang Tingfu  and
Chen Shutao
Wang Tingfu
Affiliation:
Department of Mathematics Harbin University of Science and Technology Harbin, Heilongjiang China
Chen Shutao
Affiliation:
Harbin Teachers University Harbin, Heilongjiang China
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Abstract

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This paper presents a criterion of KUR for sequence Orlicź spaces with Luxemburg's norm. The result also indicates that for any integer k ≥ 1, there exists a k + 1-uniformly rotund Banach space not being k-uniformly rotund.

Keywords

46B3046B20.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 1 , 01 March 1991 , pp. 128 - 135
Copyright
Copyright © Canadian Mathematical Society 1991

References

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