Full paper in PDF:
$%H. Hudzik, C. Wu, and Y. Ye, Packing constant in Musielak-Orlicz sequence spaces equipped with the Luxemburg norm, Rev. Mat. Univ. Complut. Madrid 7 (1994), no. 1, 13–26.%$

Packing Constant in Musielak-Orlicz Sequence Spaces Equipped with the Luxemburg Norm
Henryk HUDZIK, Congxin WU,
and Yining YE
Faculty of Mathematics and Informatics
A. Mickiewicz University
Poznan — Poland
Department of Mathematics
Harbin Institute of Technology
Harbin — P.R. China
Department of Mathematics
Harbin University of Sciences and Technology
Harbin — P.R. China

Received: October 9, 1992
Revised: October 27, 1993
ABSTRACT

A more precise formula for the Kottman parameter D(X) connected with the packing /\(X) in such way that /\(X)= D(X)/(2+ D(X)) for a Banach space X , in the case when X is a Musielak-Orlicz sequence space f l , is given. As a corollary, packing constant of the Nakano space pi l , where 1 = pi < +8 for any i= 1,2,... , is computed. This generalizes the results of Burlak et al. (1958) for p l spaces. It is also proved that f f /\(l)= /\(h ) .

1991 Mathematics Subject Classification: 46E30.