| Title:
|
On $P$-convex Musielak-Orlicz spaces (English) |
| Author:
|
Kolwicz, Paweł |
| Author:
|
Płuciennik, Ryszard |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
36 |
| Issue:
|
4 |
| Year:
|
1995 |
| Pages:
|
655-672 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper there is proved that every Musielak-Orlicz space is reflexive iff it is $P$-convex. This is an essential extension of the results given by Ye Yining, He Miaohong and Ryszard Płuciennik [16]. (English) |
| Keyword:
|
Musielak-Orlicz spaces |
| Keyword:
|
$P$-convexity |
| Keyword:
|
reflexivity |
| MSC:
|
46A80 |
| MSC:
|
46B10 |
| MSC:
|
46B20 |
| MSC:
|
46E30 |
| MSC:
|
46E40 |
| idZBL:
|
Zbl 0838.46022 |
| idMR:
|
MR1378688 |
| . |
| Date available:
|
2009-01-08T18:20:50Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118794 |
| . |
| 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:
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| Reference:
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| Reference:
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[11] Kamińska A.: Some convexity properties of Musielak-Orlicz spaces of Bochner type.Supplemento ai Rendiconti del Circolo Matematico di Palermo, Proc. of the 13$^{th}$ Winter School on Abstract Analysis, Ser. II. 10 (1985), 63-73. MR 0894273 |
| Reference:
|
[12] Kottman C.A.: Packing and reflexivity in Banach spaces.Trans. Amer. Math. Soc. 150 (1970), 565-576. Zbl 0208.37503, MR 0265918 |
| Reference:
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| Reference:
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| Reference:
|
[15] Sastry K.P.R., Naidu S.V.R.: Convexity conditions in normed linear spaces.J. Reine Angew. Math. 297 (1978), 35-53. Zbl 0364.46009, MR 0493265 |
| Reference:
|
[16] Ye Yining, He Miaohong, Płuciennik R.: $P$-convexity and reflexivity of Orlicz spaces.Comment. Math. 31 (1991), 203-216. |
| Reference:
|
[17] Ye Yining, Huang Yafeng: $P$-convexity property in Musielak-Orlicz sequence spaces.Collect. Math. 44 (1993), 307-325. Zbl 0816.46004, MR 1280747 |
| Reference:
|
[18] Ye Yining, Li Yanhong: Reflexivity conditions for an Orlicz spaces (Chinese).North-East Math. 2 (3), (1986), 309-323. MR 0889565 |
| . |
