Smooth, very smooth and strongly smooth points in Musielak-Orlicz function spaces equipped with the Luxemburg norm
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 3, pp. 487-497
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
First, we extend the criteria for smooth points of $S(L_{M})$ from [22] to the whole class of Musielak-Orlicz spaces. Next, we present criteria for very smooth and strongly smooth points of $S(L_{M})$.
Classification :
46B20, 46E30, 46E40
Keywords: smooth points; very smooth points; strongly smooth points; Musielak-Orlicz function spaces; Luxemburg norm
Keywords: smooth points; very smooth points; strongly smooth points; Musielak-Orlicz function spaces; Luxemburg norm
@article{CMUC_2001__42_3_a6,
author = {Hudzik, H. and Wang, L. and Wang, T.},
title = {Smooth, very smooth and strongly smooth points in {Musielak-Orlicz} function spaces equipped with the {Luxemburg} norm},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {487--497},
publisher = {mathdoc},
volume = {42},
number = {3},
year = {2001},
mrnumber = {1860237},
zbl = {1056.46030},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2001__42_3_a6/}
}
TY - JOUR AU - Hudzik, H. AU - Wang, L. AU - Wang, T. TI - Smooth, very smooth and strongly smooth points in Musielak-Orlicz function spaces equipped with the Luxemburg norm JO - Commentationes Mathematicae Universitatis Carolinae PY - 2001 SP - 487 EP - 497 VL - 42 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_2001__42_3_a6/ LA - en ID - CMUC_2001__42_3_a6 ER -
%0 Journal Article %A Hudzik, H. %A Wang, L. %A Wang, T. %T Smooth, very smooth and strongly smooth points in Musielak-Orlicz function spaces equipped with the Luxemburg norm %J Commentationes Mathematicae Universitatis Carolinae %D 2001 %P 487-497 %V 42 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMUC_2001__42_3_a6/ %G en %F CMUC_2001__42_3_a6
Hudzik, H.; Wang, L.; Wang, T. Smooth, very smooth and strongly smooth points in Musielak-Orlicz function spaces equipped with the Luxemburg norm. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 3, pp. 487-497. http://geodesic.mathdoc.fr/item/CMUC_2001__42_3_a6/