Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm

Xin He; Jijie Yu; Yunan Cui; Xin Huo

doi:10.1155/2014/626491

Abstract and Applied Analysis (Jan 2014)

Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm

Xin He,
Jijie Yu,
Yunan Cui,
Xin Huo

Affiliations

Xin He: Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Jijie Yu: Department of Mathematics, Harbin Electric Power Vocational Technology College, Harbin 150001, China
Yunan Cui: Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China
Xin Huo: Control and Simulation Center, Harbin Institute of Technology, Harbin 150080, China

DOI: https://doi.org/10.1155/2014/626491
Journal volume & issue: Vol. 2014

Abstract

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The problem of packing spheres in Orlicz sequence space lΦ,p equipped with the p-Amemiya norm is studied, and a geometric characteristic about the reflexivity of lΦ,p is obtained, which contains the relevant work about lp (p>1) and classical Orlicz spaces lΦ discussed by Rankin, Burlak, and Cleaver. Moreover the packing constant as well as Kottman constant in this kind of spaces is calculated.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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