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Smooth Norms in Orlicz Spaces

Published online by Cambridge University Press:  20 November 2018

R. P. Maleev  and
S. L. Troyanski
R. P. Maleev
Affiliation:
Department of Mathematics and Informatics, Sofia University, 5 A. Ivanov blvd, BG 1126, Sofia, Bulgaria
S. L. Troyanski
Affiliation:
Department of Mathematics and Informatics, Sofia University, 5 A. Ivanov blvd, BG 1126, Sofia, Bulgaria
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Abstract

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Equivalent norms with best order of Frechet and uniformly Frechet differentiability in Orlicz spaces are constructed. Classes of Orlicz which admit infinitely many times Frechet differentiable equivalent norm are found.

Keywords

46E3046B20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 1 , 01 March 1991 , pp. 74 - 82
Copyright
Copyright © Canadian Mathematical Society 1991

References

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