| Title:
|
Smooth points of the unit sphere in Musielak-Orlicz function spaces equipped with the Luxemburg norm (English) |
| Author:
|
Zbąszyniak, Zenon |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
1 |
| Year:
|
1994 |
| Pages:
|
95-102 |
| . |
| Category:
|
math |
| . |
| Summary:
|
There is given a criterion for an arbitrary element from the unit sphere of Musielak-Orlicz function space equipped with the Luxemburg norm to be a point of smoothness. Next, as a corollary, a criterion of smoothness of these spaces is given. (English) |
| Keyword:
|
Musielak-Orlicz function |
| Keyword:
|
Musielak-Orlicz space |
| Keyword:
|
support functional |
| Keyword:
|
smooth point |
| Keyword:
|
smooth space |
| MSC:
|
45B20 |
| MSC:
|
46E30 |
| idZBL:
|
Zbl 0823.46033 |
| idMR:
|
MR1292586 |
| . |
| Date available:
|
2009-01-08T18:09:00Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118644 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
[K] Kozek A.: Convex integral functionals on Orlicz spaces.Comment. Math. (Prace Matem.) 21,1 (1980), 109-135. MR 0577677 |
| Reference:
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| Reference:
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| Reference:
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[M] Musielak J.: Orlicz spaces and modular spaces.Lecture Notes in Math. 1034, Springer-Verlag 1983. Zbl 0557.46020, MR 0724434 |
| Reference:
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[N] Nowak M.: Linear functionals on Orlicz sequence spaces without local convexity.Internat. J. of Math. and Math. Sciences 1992. Zbl 0784.46009, MR 1155516 |
| Reference:
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[P] Phelps R.: Convex functions, monotone operators and differentiability.Lecture Notes in Math. 1364, Springer-Verlag, 1989. Zbl 0921.46039, MR 0984602 |
| Reference:
|
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| Reference:
|
[RR] Rao M.M., Ren Z.D.: Theory of Orlicz spaces.Marcel Dekker Inc., New York-Basel-Hong Kong, 1991. Zbl 0724.46032, MR 1113700 |
| . |
