Packing constant in Orlicz sequence spaces equipped with the \(p\)-Amemiya norm (Q1724581)
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scientific article; zbMATH DE number 7022763
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Packing constant in Orlicz sequence spaces equipped with the \(p\)-Amemiya norm |
scientific article; zbMATH DE number 7022763 |
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Packing constant in Orlicz sequence spaces equipped with the \(p\)-Amemiya norm (English)
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14 February 2019
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Summary: The problem of packing spheres in Orlicz sequence space \(l_{\Phi, p}\) equipped with the p-Amemiya norm is studied, and a geometric characteristic about the reflexivity of \(l_{\Phi, p}\) is obtained, which contains the relevant work about \(l^p\) (\(p > 1\)) and classical Orlicz spaces \(l_{\Phi}\) discussed by Rankin, Burlak, and Cleaver. Moreover the packing constant as well as Kottman constant in this kind of spaces is calculated.
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