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Local rotundity structure of generalized Orlicz–Lorentz sequence spaces

✍ Scribed by Paweł Foralewski; Henryk Hudzik; Lucjan Szymaszkiewicz


Book ID
118486308
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
251 KB
Volume
68
Category
Article
ISSN
0362-546X

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k-Uniform Rotundity of Lorentz–Orlicz Sp
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It is known that if an Orlicz function space is k-uniformly rotund for some k G 2, then it must be uniformly convex. In the paper, we show that a similar result holds in Lorentz᎐Orlicz function spaces.

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## Abstract Necessary and sufficient conditions are given for weak uniform rotundity of Orlicz sequence spaces equipped with the Luxemburg norm.