Packing constant for Cesàro-Orlicz sequence spaces

Zhen Hua Ma; Li Ning Jiang; Qiao Ling Xin

doi:10.1007/s10587-016-0234-5

Packing constant for Cesàro-Orlicz sequence spaces

Zhen Hua Ma^*, Li Ning Jiang, Qiao Ling Xin

^*Corresponding author for this work

School of Mathematics and Statistics

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

Abstract

The packing constant is an important and interesting geometric parameter of Banach spaces. Inspired by the packing constant for Orlicz sequence spaces, the main purpose of this paper is calculating the Kottman constant and the packing constant of the Cesàro-Orlicz sequence spaces (Formula presented.) defined by an Orlicz function φ equipped with the Luxemburg norm. In order to compute the constants, the paper gives two formulas. On the base of these formulas one can easily obtain the packing constant for the Cesàro sequence space ces_p and some other sequence spaces. Finally, a new constant (Formula presented.) (X), which seems to be relevant to the packing constant, is given.

Original language	English
Pages (from-to)	13-25
Number of pages	13
Journal	Czechoslovak Mathematical Journal
Volume	66
Issue number	1
DOIs	https://doi.org/10.1007/s10587-016-0234-5
Publication status	Published - 1 Mar 2016

Keywords

Cesàro sequence space
Cesàro-Orlicz sequence space
packing constant

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10.1007/s10587-016-0234-5

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title = "Packing constant for Ces{\`a}ro-Orlicz sequence spaces",

abstract = "The packing constant is an important and interesting geometric parameter of Banach spaces. Inspired by the packing constant for Orlicz sequence spaces, the main purpose of this paper is calculating the Kottman constant and the packing constant of the Ces{\`a}ro-Orlicz sequence spaces (Formula presented.) defined by an Orlicz function φ equipped with the Luxemburg norm. In order to compute the constants, the paper gives two formulas. On the base of these formulas one can easily obtain the packing constant for the Ces{\`a}ro sequence space cesp and some other sequence spaces. Finally, a new constant (Formula presented.) (X), which seems to be relevant to the packing constant, is given.",

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author = "Ma, \{Zhen Hua\} and Jiang, \{Li Ning\} and Xin, \{Qiao Ling\}",

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T1 - Packing constant for Cesàro-Orlicz sequence spaces

AU - Ma, Zhen Hua

AU - Jiang, Li Ning

AU - Xin, Qiao Ling

PY - 2016/3/1

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N2 - The packing constant is an important and interesting geometric parameter of Banach spaces. Inspired by the packing constant for Orlicz sequence spaces, the main purpose of this paper is calculating the Kottman constant and the packing constant of the Cesàro-Orlicz sequence spaces (Formula presented.) defined by an Orlicz function φ equipped with the Luxemburg norm. In order to compute the constants, the paper gives two formulas. On the base of these formulas one can easily obtain the packing constant for the Cesàro sequence space cesp and some other sequence spaces. Finally, a new constant (Formula presented.) (X), which seems to be relevant to the packing constant, is given.

AB - The packing constant is an important and interesting geometric parameter of Banach spaces. Inspired by the packing constant for Orlicz sequence spaces, the main purpose of this paper is calculating the Kottman constant and the packing constant of the Cesàro-Orlicz sequence spaces (Formula presented.) defined by an Orlicz function φ equipped with the Luxemburg norm. In order to compute the constants, the paper gives two formulas. On the base of these formulas one can easily obtain the packing constant for the Cesàro sequence space cesp and some other sequence spaces. Finally, a new constant (Formula presented.) (X), which seems to be relevant to the packing constant, is given.

KW - Cesàro sequence space

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JO - Czechoslovak Mathematical Journal

JF - Czechoslovak Mathematical Journal

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ER -

Packing constant for Cesàro-Orlicz sequence spaces

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