Isometric copies of 𝑙¹ and 𝑙^{∞} in Orlicz spaces equipped with the Orlicz norm-Reference-Cited by-同舟云学术

Isometric copies of 𝑙¹ and 𝑙^{∞} in Orlicz spaces equipped with the Orlicz norm

Published:2003-07-02 Issue:2 Volume:132 Page:473-480
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Chen Shutao,Cui Yunan,Hudzik Henryk

Abstract

Criteria in order that an Orlicz space equipped with the Orlicz norm contains a linearly isometric copy (or an order linearly isometric copy) of l 1 l^1 (or l ∞ l^{\infty } ) are given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2004-132-02/S0002-9939-03-07099-0/S0002-9939-03-07099-0.pdf

Reference14 articles.

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3. Smooth points of Orlicz spaces equipped with Luxemburg norm;Grząślewicz, R.;Math. Nachr.,1992

4. Banach lattices with order isometric copies of 𝑙^{∞};Hudzik, Henryk;Indag. Math. (N.S.),1998

5. Monotonicity properties of Musielak-Orlicz spaces and dominated best approximation in Banach lattices;Hudzik, H.;J. Approx. Theory,1998

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