Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm
Hudzik, Henryk ; Ye, Yi Ning
Commentationes Mathematicae Universitatis Carolinae, Tome 031 (1990), p. 661-684 / Harvested from Czech Digital Mathematics Library
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Support functionals in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm are completely characterized. An explicit formula for regular support functionals is given. For obtaining a characterization of singular support functionals a generalized Banach limit is applied. Some necessary and sufficient conditions for smooothness of these spaces are given, too.

Publié le : 1990-01-01
Classification:  46A45,  46B20,  46B25,  46B45 
@article{106902,
     author = {Henryk Hudzik and Yi Ning Ye},
     title = {Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {031},
     year = {1990},
     pages = {661-684},
     zbl = {0721.46012},
     mrnumber = {1091364},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106902}
}

Hudzik, Henryk; Ye, Yi Ning. Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm. Commentationes Mathematicae Universitatis Carolinae, Tome 031 (1990) pp. 661-684. http://gdmltest.u-ga.fr/item/106902/

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