Packing Constant in Musielak-Orlicz
Sequence Spaces Equipped with the
Luxemburg Norm

Henryk HUDZIK, Congxin WU,

and Yining YE

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

Harbin University of Sciences and Technology

Harbin — P.R. China

Revised: October 27, 1993

ABSTRACT

A more precise formula for the Kottman parameter connected with the packing in such way that for a Banach space , in the case when is a Musielak-Orlicz sequence space , is given. As a corollary, packing constant of the Nakano space , where for any , is computed. This generalizes the results of Burlak et al. (1958) for spaces. It is also proved that .

1991 Mathematics Subject Classification: 46E30.