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

Xin He, Jijie Yu, Yunan Cui and Xin Huo

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/626491

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:626491

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