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2008 $\lambda$ PROPERTY FOR BOCHNER-ORLICZ SEQUENCE SPACES WITH ORLICZ NORM
Zhongrui Shi, Linsen Xie
Taiwanese J. Math. 12(5): 1131-1145 (2008). DOI: 10.11650/twjm/1500574253

Abstract

We give the sufficient and necessary conditions of Bochner-Orlicz sequence spaces equipped with Orlicz norm that have the $\lambda$ property and uniform $\lambda$ property, respectively. The results show that the $\lambda$ property can not be lifted from $X$ to $l_{_{M}}(X)$.

Citation

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Zhongrui Shi. Linsen Xie. "$\lambda$ PROPERTY FOR BOCHNER-ORLICZ SEQUENCE SPACES WITH ORLICZ NORM." Taiwanese J. Math. 12 (5) 1131 - 1145, 2008. https://doi.org/10.11650/twjm/1500574253

Information

Published: 2008
First available in Project Euclid: 20 July 2017

zbMATH: 1165.46008
MathSciNet: MR2431885
Digital Object Identifier: 10.11650/twjm/1500574253

Subjects:
Primary: 46B20 , 46E30

Keywords: $\lambda$ property , Bochner-Orlicz sequence space , Orlicz norm , uniform $\lambda$ property

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 5 • 2008
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