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Computation of nonsquare constants of Orlicz spaces

Part of: Linear function spaces and their duals Normed linear spaces and Banach spaces; Banach lattices

Published online by Cambridge University Press:  09 April 2009

Y. Q. Yan
Y. Q. Yan
Affiliation:
Department of Mathematics Suzhou UniversitySuzhou, Jiangsu 215006 P. R.China e-mail: yanyq@pub.sz.jsinfo.net
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Abstract

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In this paper, we present the computation of exact value of nonsquare constants for some types of Orlicz sequence and function spaces. Main results: Let φ(u) be an N-function, φ(t) be the right derivative of φ(u), then we have (i) if φ (t) is concave, then (ii) if φ (t)is convex, then

MSC classification

Secondary: 46B45: Banach sequence spaces 46E30: Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 75 , Issue 2 , October 2003 , pp. 153 - 162
Copyright
Copyright © Australian Mathematical Society 2003

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