Some results on packing in Orlicz sequence spaces
Y. Q. Yan
Studia Mathematica, Tome 147 (2001), p. 73-88 / Harvested from The Polish Digital Mathematics Library
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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|)ln(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.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:284550 
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Y. Q. Yan. Some results on packing in Orlicz sequence spaces. Studia Mathematica, Tome 147 (2001) pp. 73-88. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm147-1-6/