Geodesic
Some results on packing in Orlicz sequence spaces
Y. Q. Yan1
1 Department of Mathematics Suzhou University Suzhou, Jiangsu, 215006, P.R. China
Studia Mathematica, Tome 147 (2001) no. 1, pp. 73-88

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We present monotonicity theorems for index functions of $N$-fuctions, and obtain formulas for exact values of packing constants. In particular, we show that the Orlicz sequence space $l^{(N)}$ generated by the $N$-function $N(v)=(1+|v|)\mathop {\rm ln}\nolimits (1+|v|)-|v|$ with Luxemburg norm has the Kottman constant $K(l^{(N)})={N^{-1}(1)}/{N^{-1}({1}/{2})}$, which answers M. M. Rao and Z. D. Ren's [8] problem.
DOI : 10.4064/sm147-1-6
Keywords: present monotonicity theorems index functions n fuctions obtain formulas exact values packing constants particular orlicz sequence space generated n function mathop nolimits luxemburg norm has kottman constant which answers rao rens problem

Y. Q. Yan 1

1 Department of Mathematics Suzhou University Suzhou, Jiangsu, 215006, P.R. China 
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Y. Q. Yan. Some results on packing in Orlicz sequence spaces. Studia Mathematica, Tome 147 (2001) no. 1, pp. 73-88. doi: 10.4064/sm147-1-6

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