Packing constant for Cesàro-Orlicz sequence spaces

Zhen-Hua Ma; Li-Ning Jiang; Qiao-Ling Xin

Czechoslovak Mathematical Journal (2016)

  • Volume: 66, Issue: 1, page 13-25
  • ISSN: 0011-4642

Abstract

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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 ( ces φ ) 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 D ˜ ( X ) , which seems to be relevant to the packing constant, is given.

How to cite

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Ma, Zhen-Hua, Jiang, Li-Ning, and Xin, Qiao-Ling. "Packing constant for Cesàro-Orlicz sequence spaces." Czechoslovak Mathematical Journal 66.1 (2016): 13-25. <http://eudml.org/doc/276806>.

@article{Ma2016,
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 ($\{\rm ces\}_\{\phi \}$) defined by an Orlicz function $\phi $ 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 $\{\rm ces\}_\{p\}$ and some other sequence spaces. Finally, a new constant $\widetilde\{D\}(X)$, which seems to be relevant to the packing constant, is given.},
author = {Ma, Zhen-Hua, Jiang, Li-Ning, Xin, Qiao-Ling},
journal = {Czechoslovak Mathematical Journal},
keywords = {packing constant; Cesàro sequence space; Cesàro-Orlicz sequence space},
language = {eng},
number = {1},
pages = {13-25},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Packing constant for Cesàro-Orlicz sequence spaces},
url = {http://eudml.org/doc/276806},
volume = {66},
year = {2016},
}

TY - JOUR
AU - Ma, Zhen-Hua
AU - Jiang, Li-Ning
AU - Xin, Qiao-Ling
TI - Packing constant for Cesàro-Orlicz sequence spaces
JO - Czechoslovak Mathematical Journal
PY - 2016
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 66
IS - 1
SP - 13
EP - 25
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 (${\rm ces}_{\phi }$) defined by an Orlicz function $\phi $ 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 ${\rm ces}_{p}$ and some other sequence spaces. Finally, a new constant $\widetilde{D}(X)$, which seems to be relevant to the packing constant, is given.
LA - eng
KW - packing constant; Cesàro sequence space; Cesàro-Orlicz sequence space
UR - http://eudml.org/doc/276806
ER -

References

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