Proceedings of the American Mathematical Society

Isometric copies of

and $l^{\infty}$ in Orlicz spaces equipped with the Orlicz norm

Author(s): Shutao Chen; Yunan Cui; Henryk Hudzik
Journal: Proc. Amer. Math. Soc. 132 (2004), 473-480.
MSC (2000): Primary 46B20, 46E30
Posted: July 2, 2003
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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

(or $l^{\infty}$ ) are given.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46B20, 46E30

Shutao Chen
Affiliation: Department of Mathematics, Harbin Normal University, Harbin, People's Republic of China
Email: schen@public.hr.hl.cn

Yunan Cui
Affiliation: Department of Mathematics, Harbin University of Science and Technology, Harbin, People's Republic of China
Email: cuiya@yahoo.com

Henryk Hudzik
Affiliation: Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznan, Poland
Email: hudzik@amu.edu.pl

DOI: 10.1090/S0002-9939-03-07099-0
PII: S 0002-9939(03)07099-0
Keywords: Orlicz space, Orlicz norm, order linearly isometric copy of $l^1$, linearly isometric copy of $l^1$, order linearly isometric copy of $l^{\infty}$.
Received by editor(s): February 26, 2002
Received by editor(s) in revised form: March 20, 2002 and October 8, 2002
Posted: July 2, 2003
Communicated by: N. Tomczak-Jaegermann
Copyright of article: Copyright 2003, American Mathematical Society

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