| Title:
|
Weak uniform rotundity of Musielak--Orlicz spaces (English) |
| Author:
|
Doman, Małgorzata |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
3 |
| Year:
|
1991 |
| Pages:
|
441-446 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give necessary and sufficient conditions for weak uniform rotundity of Mu\-sie\-lak--Orlicz spaces $L_\varphi $ with the Luxemburg norm. The result is a generalization of a theorem by Kami'nska and Kurc. (English) |
| Keyword:
|
Musielak--Orlicz space |
| Keyword:
|
rotundity |
| MSC:
|
46B20 |
| MSC:
|
46B25 |
| idZBL:
|
Zbl 0757.46021 |
| idMR:
|
MR1159792 |
| . |
| Date available:
|
2009-01-08T17:45:59Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118425 |
| . |
| Reference:
|
[1] Diestel J.: Geometry of Banach spaces-selected topics.Springer Lecture Notes in Mathematics, vol. 485, 1983. Zbl 0466.46021, MR 0461094 |
| Reference:
|
[2] Hudzik H.: On some equivalent conditions in Musielak-Orlicz spaces.Comment. Math. 24 (1984), 57-64. Zbl 0564.46022, MR 0759055 |
| Reference:
|
[3] 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. Zbl 0479.46014, MR 0640468 |
| Reference:
|
[4] Hudzik H.: Uniform convexity of Musielak-Orlicz spaces with Luxemburg's norm.Comment. Math. 23 (1983), 21-32. Zbl 0595.46027, MR 0709167 |
| Reference:
|
[5] 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. MR 0781940 |
| Reference:
|
[6] Kamińska A.: Weak uniform rotundity in Orlicz spaces.Comment. Math. Univ. Carolinae 27 (1986), 651-664. MR 0874658 |
| Reference:
|
[7] Musielak J.: Orlicz spaces and modular spaces.Springer Lecture Notes in Mathematics, vol. 1034, 1983. Zbl 0557.46020, MR 0724434 |
| . |
