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Proceedings of the American Mathematical Society

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Maluta's coefficient
in Musielak-Orlicz sequence spaces
equipped with the Orlicz norm


Authors: Yunan Cui, Henryk Hudzik and Hongwei Zhu
Journal: Proc. Amer. Math. Soc. 126 (1998), 115-121
MSC (1991): Primary 46E30
MathSciNet review: 1389512
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Abstract: Maluta's coefficient of Musielak-Orlicz sequence spaces equipped with the Orlicz norm is calculated. A sufficient condition for the Schur property of these spaces is given.


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Additional Information

Yunan Cui
Affiliation: Harbin University of Science and Technology, Department of Mathematics, Harbin (150080), China
Email: cuiya@hkd.hrbust.edu.cn

Henryk Hudzik
Affiliation: Adam Mickiewicz University, Faculty of Mathematics and Computer Science, Matejki 48/49, 60-769 Poznań, Poland
Email: hudzik@math.amu.edu.pl

Hongwei Zhu
Affiliation: Harbin University of Science and Technology, Department of Mathematics, Harbin (150080), China

DOI: https://doi.org/10.1090/S0002-9939-98-03839-8
Keywords: Schur's property, Maluta's coefficient, asymptotic equidistant sequence, reflexivity, weak convergence, the $\delta _{2}$-condition.
Received by editor(s): July 19, 1995
Received by editor(s) in revised form: March 12, 1996
Additional Notes: The first and third authors were supported by the Chinese National Science Foundation. \endgraf The second author was supported by KBN grant 2 P03A 031 10
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1998 American Mathematical Society