Some results on packing in Orlicz sequence spaces

• Autorzy: Y. Q. Yan
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 46A45: Sequence spaces (including K\"othe sequence spaces)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 147
• Numer: 1
• Strony: 73-88

Daty

wydano

2001

Twórcy

autor

Y. Q. Yan

• Department of Mathematics, Suzhou University, Suzhou, Jiangsu, 215006, P.R. China

Identyfikatory

DOI

10.4064/sm147-1-6