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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.

Information

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

References

1. Sullivan, F., A generalization of uniformly rotund Banach spaces , Canad. J. Math. 31 (1979), 628–636.Google Scholar
2. Kaminska, A., On uniform convexity of Orlicz spaces, Indag. Math. A85 (1982), 27–36.Google Scholar
3. Congxin, W., Tingfu, W., Shutao, C., Yuwen, W., Geometry of Orlicz spaces. Harbin, 1986.Google Scholar
4. Lindenstrauss, J., Tzafriri, L., Classical Banach spaces I. Springer-Verlag, 1977.Google Scholar
5. Krasnoselskii, M. A., Rutickii, Ya. B., Convex functions and orlicz spaces. Groningen, 1961.Google Scholar