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Strict convexity of Orlicz sequence spaces equipped with p-Amemiya norms

Authors :
Yunan Cui
Xiaoyan Li
Source :
Indian Journal of Pure and Applied Mathematics. 53:660-671
Publication Year :
2021
Publisher :
Springer Science and Business Media LLC, 2021.

Abstract

In this paper, criteria for strict convexity of Orlicz sequence spaces equipped with the p-Amemiya norms $$(1\le p\le \infty )$$ are presented. The obtained results widen the characterization of strict convexity of Orlicz sequence spaces. From our results it follows that there are Orlicz sequence spaces which are strictly convex for p-Amemiya norms with $$1

Details

ISSN :
09757465 and 00195588
Volume :
53
Database :
OpenAIRE
Journal :
Indian Journal of Pure and Applied Mathematics
Accession number :
edsair.doi...........f1eb0d3792bea00b725628598a6f4b37