Geodesic
The fixed point property in Musielak-Orlicz sequence spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 2, pp. 299-309.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper, we give necessary and sufficient conditions for a point in a Musielak-Orlicz sequence space equipped with the Orlicz norm to be an {\bf H}-point. We give necessary and sufficient conditions for a Musielak-Orlicz sequence space equipped with the Orlicz norm to have the {\it Kadec-Klee} property, the uniform {\it Kadec-Klee} property and to be nearly uniformly convex. We show that a Musielak-Orlicz sequence space equipped with the Orlicz norm has the fixed point property if and only if it is reflexive.
Classification : 46B20, 46B45, 46E30, 47H10
Keywords: nearly uniformly convex; uniform Kadec-Klee property; Kadec-Klee property; Musielak-Orlicz sequence space; fixed point property 
@article{CMUC_2001__42_2_a6,
     author = {Thompson, H. Bevan and Cui, Yunan},
     title = {The fixed point property in {Musielak-Orlicz} sequence spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {299--309},
     publisher = {mathdoc},
     volume = {42},
     number = {2},
     year = {2001},
     mrnumber = {1832148},
     zbl = {1056.46021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2001__42_2_a6/}
}
TY  - JOUR
AU  - Thompson, H. Bevan
AU  - Cui, Yunan
TI  - The fixed point property in Musielak-Orlicz sequence spaces
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2001
SP  - 299
EP  - 309
VL  - 42
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2001__42_2_a6/
LA  - en
ID  - CMUC_2001__42_2_a6
ER  - 
%0 Journal Article
%A Thompson, H. Bevan
%A Cui, Yunan
%T The fixed point property in Musielak-Orlicz sequence spaces
%J Commentationes Mathematicae Universitatis Carolinae
%D 2001
%P 299-309
%V 42
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2001__42_2_a6/
%G en
%F CMUC_2001__42_2_a6
Thompson, H. Bevan; Cui, Yunan. The fixed point property in Musielak-Orlicz sequence spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 2, pp. 299-309. http://geodesic.mathdoc.fr/item/CMUC_2001__42_2_a6/