The fixed point property in Musielak-Orlicz sequence spaces

Harold Bevan Thompson; Yunan Cui

Commentationes Mathematicae Universitatis Carolinae (2001)

  • Volume: 42, Issue: 2, page 299-309
  • ISSN: 0010-2628

Abstract

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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 H-point. We give necessary and sufficient conditions for a Musielak-Orlicz sequence space equipped with the Orlicz norm to have the Kadec-Klee property, the uniform 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.

How to cite

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Thompson, Harold Bevan, and Cui, Yunan. "The fixed point property in Musielak-Orlicz sequence spaces." Commentationes Mathematicae Universitatis Carolinae 42.2 (2001): 299-309. <http://eudml.org/doc/248783>.

@article{Thompson2001,
abstract = {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 H-point. We give necessary and sufficient conditions for a Musielak-Orlicz sequence space equipped with the Orlicz norm to have the Kadec-Klee property, the uniform 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.},
author = {Thompson, Harold Bevan, Cui, Yunan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {nearly uniformly convex; uniform Kadec-Klee property; Kadec-Klee property; Musielak-Orlicz sequence space; fixed point property; uniform convexity; uniform Kadec-Klee property; Musielak-Orlicz sequence space; fixed point property},
language = {eng},
number = {2},
pages = {299-309},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The fixed point property in Musielak-Orlicz sequence spaces},
url = {http://eudml.org/doc/248783},
volume = {42},
year = {2001},
}

TY - JOUR
AU - Thompson, Harold Bevan
AU - Cui, Yunan
TI - The fixed point property in Musielak-Orlicz sequence spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2001
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 42
IS - 2
SP - 299
EP - 309
AB - 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 H-point. We give necessary and sufficient conditions for a Musielak-Orlicz sequence space equipped with the Orlicz norm to have the Kadec-Klee property, the uniform 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.
LA - eng
KW - nearly uniformly convex; uniform Kadec-Klee property; Kadec-Klee property; Musielak-Orlicz sequence space; fixed point property; uniform convexity; uniform Kadec-Klee property; Musielak-Orlicz sequence space; fixed point property
UR - http://eudml.org/doc/248783
ER -

References

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