## Abstract and Applied Analysis

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

#### Abstract

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

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 626491, 7 pages.

Dates
First available in Project Euclid: 2 October 2014

https://projecteuclid.org/euclid.aaa/1412277043

Digital Object Identifier
doi:10.1155/2014/626491

Mathematical Reviews number (MathSciNet)
MR3224317

Zentralblatt MATH identifier
07022763

#### Citation

He, Xin; Yu, Jijie; Cui, Yunan; Huo, Xin. Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm. Abstr. Appl. Anal. 2014 (2014), Article ID 626491, 7 pages. doi:10.1155/2014/626491. https://projecteuclid.org/euclid.aaa/1412277043

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