Some results on packing in Orlicz sequence spaces

Tom 147 / 2001

Y. Q. Yan Studia Mathematica 147 (2001), 73-88 MSC: 46E30, 46A45. DOI: 10.4064/sm147-1-6

Streszczenie

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.

Autorzy

  • Y. Q. YanDepartment of Mathematics
    Suzhou University
    Suzhou, Jiangsu, 215006, P.R. China
    e-mail

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek