Some results on packing in Orlicz sequence spaces

Y. Q. Yan. "Some results on packing in Orlicz sequence spaces." Studia Mathematica 147.1 (2001): 73-88. <http://eudml.org/doc/284550>.

@article{Y2001,
abstract = {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.},
author = {Y. Q. Yan},
journal = {Studia Mathematica},
keywords = {indices; complementary -functions; packing constant; Kottman constant; Orlicz sequence space},
language = {eng},
number = {1},
pages = {73-88},
title = {Some results on packing in Orlicz sequence spaces},
url = {http://eudml.org/doc/284550},
volume = {147},
year = {2001},
}

TY - JOUR
AU - Y. Q. Yan
TI - Some results on packing in Orlicz sequence spaces
JO - Studia Mathematica
PY - 2001
VL - 147
IS - 1
SP - 73
EP - 88
AB - 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.
LA - eng
KW - indices; complementary -functions; packing constant; Kottman constant; Orlicz sequence space
UR - http://eudml.org/doc/284550
ER -