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

Xiaoyan Li () and Yunan Cui ()
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Xiaoyan Li: Department of Mathematics, Harbin University of Science and Technology
Yunan Cui: Department of Mathematics, Harbin University of Science and Technology

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 3, 660-671

Abstract: Abstract In this paper, criteria for strict convexity of Orlicz sequence spaces equipped with the p-Amemiya norms $$(1\le p\le \infty )$$ ( 1 ≤ p ≤ ∞ ) 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

Keywords: Orlicz sequence space; P-Amemiya norm; Strict convexity (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13226-021-00157-x

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