Geodesic
Packing constant for Cesàro-Orlicz sequence spaces
Czechoslovak Mathematical Journal, Tome 66 (2016) no. 1, pp. 13-25.

Voir la notice de l'article dans Czech Digital Mathematics Library

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 (cesϕ) 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 D~(X), which seems to be relevant to the packing constant, is given.
DOI : 10.1007/s10587-016-0234-5
Classification : 46A45, 46B20
Mots-clés : packing constant; Cesàro sequence space; Cesàro-Orlicz sequence space 
@article{10_1007_s10587_016_0234_5,
     author = {Ma, Zhen-Hua and Jiang, Li-Ning and Xin, Qiao-Ling},
     title = {Packing constant for {Ces\`aro-Orlicz} sequence spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {13--25},
     publisher = {mathdoc},
     volume = {66},
     number = {1},
     year = {2016},
     doi = {10.1007/s10587-016-0234-5},
     mrnumber = {3483217},
     zbl = {06587868},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-016-0234-5/}
}
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
SP  - 13
EP  - 25
VL  - 66
IS  - 1
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-016-0234-5/
DO  - 10.1007/s10587-016-0234-5
LA  - en
ID  - 10_1007_s10587_016_0234_5
ER  - 
%0 Journal Article
%A Ma, Zhen-Hua
%A Jiang, Li-Ning
%A Xin, Qiao-Ling
%T Packing constant for Cesàro-Orlicz sequence spaces
%J Czechoslovak Mathematical Journal
%D 2016
%P 13-25
%V 66
%N 1
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-016-0234-5/
%R 10.1007/s10587-016-0234-5
%G en
%F 10_1007_s10587_016_0234_5
Ma, Zhen-Hua; Jiang, Li-Ning; Xin, Qiao-Ling. Packing constant for Cesàro-Orlicz sequence spaces. Czechoslovak Mathematical Journal, Tome 66 (2016) no. 1, pp. 13-25. doi : 10.1007/s10587-016-0234-5. https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-016-0234-5/

Cité par Sources :