On uniform convexity of Orlicz spaces
نویسندگان
چکیده
منابع مشابه
On difference sequence spaces defined by Orlicz functions without convexity
In this paper, we first define spaces of single difference sequences defined by a sequence of Orlicz functions without convexity and investigate their properties. Then we extend this idea to spaces of double sequences and present a new matrix theoretic approach construction of such double sequence spaces.
متن کاملon difference sequence spaces defined by orlicz functions without convexity
in this paper, we first define spaces of single difference sequences defined by a sequence of orlicz functions without convexity and investigate their properties. then we extend this idea to spaces of double sequences and present a new matrix theoretic approach construction of such double sequence spaces.
متن کاملOn the Uniform Convexity Of
The standard proof of the uniform convexity of L using Clarkson’s [1] or Hanner’s [2] inequalities (see also [4]) is rarely taught in functional analysis classes, in part (the author imagines) because the proofs of those inequalities are quite non-intuitive and unwieldy. We present here a direct proof, cheerfully sacrificing the optimal bounds – for which, see [2, 4]. It fits quite nicely in wi...
متن کاملOn the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm
The problem of strict convexity of the Besicovitch-Orlicz space of almost periodic functions is considered here in connection with the Orlicz norm. We give necessary and sufficient conditions in terms of the function φ generating the space. 2000 Mathematics Subject Classification: 46B20, 42A75.
متن کاملCharacterization of matrix operators on Orlicz spaces
We give equivalent conditions for tensor product of Orlicz sequence spaces, then we obtain a necessary and sufficient condition for a class of matrix operators acting on Orlicz sequence spaces to be continuous and compact.
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1982
ISSN: 1385-7258
DOI: 10.1016/1385-7258(82)90005-1