| Title:
|
On some convexities of Orlicz and Orlicz-Bochner spaces (English) |
| Author:
|
Chen, S. |
| Author:
|
Hudzik, Henryk |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
29 |
| Issue:
|
1 |
| Year:
|
1988 |
| Pages:
|
13-29 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46E30 |
| MSC:
|
46E40 |
| idZBL:
|
Zbl 0647.46030 |
| idMR:
|
MR937545 |
| . |
| Date available:
|
2008-06-05T21:31:25Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106593 |
| . |
| Reference:
|
[1] V. AKIMOVlČ: On uniformly convex and uniformly smooth Orlicz spaces.Teoria Funkcii Funk. Anal. i Eril. 15 (1970), 114-120 (in Russian). |
| Reference:
|
[2] W. L. BYNUM: Normal structure coefficient for Banach spaces.Pacific J. Math. 86 (1980), 427-436. MR 0590555 |
| Reference:
|
[3] A. A. GILLESPIE B. B. WILLIAMS: Fixed point theorem for nonexpansive mappings on Banach spaces with uniformly normal structure.Appl. Anal. 9 (1979), 121-124. MR 0539537 |
| Reference:
|
[4] K. GOEBEL S. REICH: Uniform convexity, hyperbolic metric and nonexpansive mappings.Marcel Dekker, New York, Basel (1984). MR 0744194 |
| Reference:
|
[5] R. GRZAÁLEWICZ H. HUDZIK W. ORLICZ: Uniform non-$l_n^(1)$ property in some normed spaces.Bull. Acad. Polon. Sci. Math. 34 (1986), 161-171. MR 0861173 |
| Reference:
|
[6] H. HUDZIK: Uniformly $non_n^(1)$ Orlicz spaces.Studia Math. 81 (3) (1985), 271-284. MR 0808569 |
| Reference:
|
[7] H. HUDZIK: Convexity in Musielak-Orlicz spaces.Hokkaido Math. J. 14 (1) (1985), 85-96. Zbl 0579.46023, MR 0781829 |
| Reference:
|
[8] H. HUDZIK: Locally uniformly non-$l_n^(1)$ Orlicz spaces.Rendiconti del Circolo Math, di Palermo, Proceedings of the Winter School on Abstract Analysis, Srní 1985. |
| Reference:
|
[9] H. HUDZIK: Flat Musielak-Orlicz spaces with Luxemburg's norm.Bull. Acad. Polon. Sci. Math. 32 (1984), 203-208. MR 0771904 |
| Reference:
|
[10] H. HUDZIK A. KAMINSKA: On uniformly convexifiable and B-convex Musielak-Orlicz spaces.Commentationes Math. 2 5 (1985), 59-75. MR 0795121 |
| Reference:
|
[11] R. C. JAMES: Uniformly non-square Banach spaces.Annals of Math. 80 (1964), 542-550. Zbl 0132.08902, MR 0173932 |
| Reference:
|
[12] A. KAMIŃSKA: On uniform convexity of Orlicz spaces.Todagationes Math. 80 (1964), 542-550. |
| Reference:
|
[13] A. KAMIŃSKA B. TURETT: Uniformly non-$l_n^(1)$ Orlicz-Bochner spaces.Bull. Acad. Polon. Sci. Math, to appear. |
| Reference:
|
[14] M. A. KRASNOSELSKII, Ya. B. RUTICKII: Convex functions and Orlicz spaces.(translation), Groningen 1961. |
| Reference:
|
[15] T. LANDES: Permanence properties of normal structure.Pacific J. Math. 110 (1) (1984), 125-144. Zbl 0534.46015, MR 0722744 |
| Reference:
|
[16] W. A. J. LUXEMBURG: Banach function spaces.Thesis, Delft 1955. Zbl 0068.09204, MR 0072440 |
| Reference:
|
[17] H. W. MILNES: Convexity of Orlicz spaces.Pacific J. Math. 7 (1957), 1451-1486. Zbl 0078.28705, MR 0107173 |
| Reference:
|
[18] J. MUSIELAK: Orlicz spaces and modular spaces.Lecture Notes in Math. 1034 (1983). Zbl 0557.46020, MR 0724434 |
| Reference:
|
[19] J. J. SCHÄFFER: Geometry of spheres in normed spaces.Lecture Notes in Math. 20 (1976). MR 0467256 |
| Reference:
|
[20] CHEN SHUTAO: Nonsquareness of Orlicz spaces.Chinese Anal. Math. 6 A (5) (1985), 619-624. MR 0843901 |
| Reference:
|
[21] K. SUNDARESAN: On the strict and uniform convexity of certain Banach spaces.Pacific J. Math. 15 (1965), 1083-1086. Zbl 0135.16302, MR 0187067 |
| Reference:
|
[22] WANG YUWEN, CHEN SHUTAO: Non-squareness, B-convexity and flatness of Orlicz spaces with Orlicz norm.Commentationes Math., to appear. |
| . |
