Isometric copies of $l^1$ and $l^{\infty }$ in Orlicz spaces equipped with the Orlicz norm
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- by Shutao Chen, Yunan Cui and Henryk Hudzik PDF
- Proc. Amer. Math. Soc. 132 (2004), 473-480 Request permission
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 $l^1$ (or $l^{\infty }$) are given.References
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Additional Information
- 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, Poznań, Poland
- Email: hudzik@amu.edu.pl
- Received by editor(s): February 26, 2002
- Received by editor(s) in revised form: March 20, 2002, and October 8, 2002
- Published electronically: July 2, 2003
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 473-480
- MSC (2000): Primary 46B20, 46E30
- DOI: https://doi.org/10.1090/S0002-9939-03-07099-0
- MathSciNet review: 2022371