On the dual of Orlicz–Lorentz space-Reference-Cited by-同舟云学术

On the dual of Orlicz–Lorentz space

Published:2002-01-25 Issue:6 Volume:130 Page:1645-1654
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hudzik H.,Kamińska A.,Mastyło M.

Abstract

A description of the Köthe dual of the Orlicz–Lorentz space Λ φ , w \Lambda _{\varphi , w} generated by an Orlicz function φ \varphi and a regular weight function w w is presented. It is also shown that in the case of separable Orlicz–Lorentz spaces the regularity condition on w w is necessary and sufficient for the coincidence of the Banach dual space with the described Köthe dual space.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2002-130-06/S0002-9939-02-05997-X/S0002-9939-02-05997-X.pdf

Reference13 articles.

1. Duals of Lorentz spaces;Allen, G. D.;Pacific J. Math.,1978

2. On the structure of principal ideals of operators;Allen, G. D.;Trans. Amer. Math. Soc.,1978

3. Pure and Applied Mathematics;Bennett, Colin,1988

4. Intermediate spaces and interpolation, the complex method;Calderón, A.-P.;Studia Math.,1964

5. Geometric properties of some Calderón-Lozanovskiĭ spaces and Orlicz-Lorentz spaces;Hudzik, Henryk;Houston J. Math.,1996

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