The fixed point property in Musielak-Orlicz sequence spaces
Thompson, Harold Bevan ; Cui, Yunan
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001), p. 299-309 / Harvested from Czech Digital Mathematics Library
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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 {\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.

Publié le : 2001-01-01
Classification:  46B20,  46B45,  46E30,  47H10 
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     author = {Harold Bevan Thompson and Yunan Cui},
     title = {The fixed point property in Musielak-Orlicz sequence spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {42},
     year = {2001},
     pages = {299-309},
     zbl = {1056.46021},
     mrnumber = {1832148},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119244}
}

Thompson, Harold Bevan; Cui, Yunan. The fixed point property in Musielak-Orlicz sequence spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) pp. 299-309. http://gdmltest.u-ga.fr/item/119244/

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