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The modulus of near smoothness of the lp product of a sequence of Banach spaces

Published online by Cambridge University Press:  18 May 2009

Leszek Olszowy
Leszek Olszowy
Affiliation:
Department of Mathematics, Technical University of Rzeszów, W. Pola 2, 35-959 Rzeszów, Poland E-Mail: [email protected]
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In the classical geometry of Banach spaces the notions of smoothness, uniform smoothness, strict and uniform convexity introduced by Day [1] and Clarkson [2] play a very important role and are used in many branches of functional analysis ([3,4,5], for example). In recent years a lot of papers have appeared containing interesting generalizations of these notions in terms of a measure of noncompactness. These new concepts investigated in this paper as near uniform smoothness, local near uniform smoothness and modulus of near smoothness have been introduced by Stachura and Sekowski [6] and Banaś [7] (see also [8,9]).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 39 , Issue 2 , May 1997 , pp. 153 - 165
Copyright
Copyright © Glasgow Mathematical Journal Trust 1997

References

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