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

Packing constant in Orlicz sequence spaces equipped with the p-Amemiya norm

Xin He^*
, Jijie Yu
, Yunan Cui
, Xin Huo

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology
Harbin Normal University
Harbin Electric Power Vocational Technology College
Harbin University of Science and Technology

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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

Original language	English
Article number	626491
Journal	Abstract and Applied Analysis
Volume	2014
DOIs	https://doi.org/10.1155/2014/626491
State	Published - 2014

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title = "Packing constant in Orlicz sequence spaces equipped with the p-Amemiya norm",

abstract = "The problem of packing spheres in Orlicz sequence space l Φ, p equipped with the p-Amemiya norm is studied, and a geometric characteristic about the reflexivity of l Φ, p is obtained, which contains the relevant work about l p (p > 1) and classical Orlicz spaces l Φ 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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AU - He, Xin

AU - Yu, Jijie

AU - Cui, Yunan

AU - Huo, Xin

PY - 2014

Y1 - 2014

N2 - The problem of packing spheres in Orlicz sequence space l Φ, p equipped with the p-Amemiya norm is studied, and a geometric characteristic about the reflexivity of l Φ, p is obtained, which contains the relevant work about l p (p > 1) and classical Orlicz spaces l Φ discussed by Rankin, Burlak, and Cleaver. Moreover the packing constant as well as Kottman constant in this kind of spaces is calculated.

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

UR - https://www.scopus.com/pages/publications/84903600868

U2 - 10.1155/2014/626491

DO - 10.1155/2014/626491

M3 - 文章

AN - SCOPUS:84903600868

SN - 1085-3375

VL - 2014

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 626491

ER -

Packing constant in Orlicz sequence spaces equipped with the p-Amemiya norm

Abstract

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