Weak uniform rotundity of Musielak--Orlicz spaces
Commentationes Mathematicae Universitatis Carolinae (1991)
- Volume: 32, Issue: 3, page 441-446
- ISSN: 0010-2628
Access Full Article
top
Abstract
topHow to cite
topDoman, Małgorzata. "Weak uniform rotundity of Musielak--Orlicz spaces." Commentationes Mathematicae Universitatis Carolinae 32.3 (1991): 441-446. <http://eudml.org/doc/247306>.
@article{Doman1991,
abstract = {We give necessary and sufficient conditions for weak uniform rotundity of Musielak–Orlicz spaces $L_\varphi $ with the Luxemburg norm. The result is a generalization of a theorem by Kami’nska and Kurc.},
author = {Doman, Małgorzata},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Musielak--Orlicz space; rotundity; weak uniform rotundity; Musielak-Orlicz space},
language = {eng},
number = {3},
pages = {441-446},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Weak uniform rotundity of Musielak--Orlicz spaces},
url = {http://eudml.org/doc/247306},
volume = {32},
year = {1991},
}
TY - JOUR
AU - Doman, Małgorzata
TI - Weak uniform rotundity of Musielak--Orlicz spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 3
SP - 441
EP - 446
AB - We give necessary and sufficient conditions for weak uniform rotundity of Musielak–Orlicz spaces $L_\varphi $ with the Luxemburg norm. The result is a generalization of a theorem by Kami’nska and Kurc.
LA - eng
KW - Musielak--Orlicz space; rotundity; weak uniform rotundity; Musielak-Orlicz space
UR - http://eudml.org/doc/247306
ER -
References
top- Diestel J., Geometry of Banach spaces-selected topics, Springer Lecture Notes in Mathematics, vol. 485, 1983. Zbl0466.46021MR0461094
- Hudzik H., On some equivalent conditions in Musielak-Orlicz spaces, Comment. Math. 24 (1984), 57-64. (1984) Zbl0564.46022MR0759055
- Hudzik H., Strict convexity of Musielak-Orlicz spaces with Luxemburg's norm, Bull. Acad. Polon. Sci., Sér. Sci. Math., Astronom. et Phys. 29 (1981), 235-247. (1981) Zbl0479.46014MR0640468
- Hudzik H., Uniform convexity of Musielak-Orlicz spaces with Luxemburg's norm, Comment. Math. 23 (1983), 21-32. (1983) Zbl0595.46027MR0709167
- Kamińska A., On some convexity properties of Musielak-Orlicz spaces, Supplemento ai Rendicoti del Circolo Matematico di Palermo, The 12th Winter School on Abstract Analysis, Srní 1984. MR0781940
- Kamińska A., Weak uniform rotundity in Orlicz spaces, Comment. Math. Univ. Carolinae 27 (1986), 651-664. (1986) MR0874658
- Musielak J., Orlicz spaces and modular spaces, Springer Lecture Notes in Mathematics, vol. 1034, 1983. Zbl0557.46020MR0724434
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.