| Title:
|
On the non-$l_n^{(1)}$ and locally uniformly non-$l_n^{(1)}$ properties, and $l^1$ copies in Musielak-Orlicz spaces (English) |
| Author:
|
Alherk, Ghassan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
31 |
| Issue:
|
3 |
| Year:
|
1990 |
| Pages:
|
435-443 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46B25 |
| MSC:
|
46E30 |
| idZBL:
|
Zbl 0741.46008 |
| idMR:
|
MR1078478 |
| . |
| Date available:
|
2008-06-05T21:44:49Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106879 |
| . |
| Reference:
|
[1] Bombal F.: On $l_1$ subspaces of Orlicz vector-valued function spaces.Math. Proc. Comb. Phil. Soc. 101, 107 (1987), 107-112. MR 0877704 |
| Reference:
|
[2] Fuentes F., Hernandez F. L.: On weighted Orlicz sequence spaces and their subspaces.Rocky Mount. Math. J. 18, 3 (1988), 585-599. Zbl 0677.46002, MR 0972651 |
| Reference:
|
[3] Grzaslewicz R., Hudzik H., Orlicz W.: Uniformly non-$l_n^{(1)}$ property in some normed spaces.Bull. Acad. Polon. Sci. Math. 34, 3-4 (1986), 161-171. MR 0861173 |
| Reference:
|
[4] Hudzik H.: Locally uniformly non-$l_n^{(1)}$ Orlicz spaces.Proceed. of the 13th Winter School on Abstract Analysis, Srní, January 20-27, 1985, Supplemento ai Rendiconti del Circolo Matematico di Palermo Ser. II, num. 10 (1985), 49-56. MR 0894271 |
| Reference:
|
[5] Hudzik H.: Uniform convexity of Musielak-Orlicz spaces with Luxemburg's norm.Commentationes Math. 23 (1983), 21-32. Zbl 0595.46027, MR 0709167 |
| Reference:
|
[6] Hudzik H.: On some equivalent conditions in Musielak-Orlicz spaces.Commentationes Math. 24 (1984), 57-64. Zbl 0564.46022, MR 0759055 |
| Reference:
|
[7] Hudzik H.: Strict convexity of Musielak-Orlicz spaces with Luxemburg's norm.Bull. Acad. Polon. Sci. Math. 29, 5-6 (1981), 235-247. Zbl 0479.46014, MR 0640468 |
| Reference:
|
[8] Hudzik H.: Orlicz spaces containing a copy of $L^1$.Math. Japonica. |
| Reference:
|
[9] Hudzik H., Kaminska A.: On uniformly convexifiable and B-convex Musielak-Orlicz spaces.Commentationes Math. 25 (1985), 59-75. Zbl 0588.46022, MR 0795121 |
| Reference:
|
[10] Hudzik H., Kaminska A., Kurc W.: Uniformly non-$l_n^{(1)}$ Musielak-Orlicz spaces.Bull. Acad. Polon. Sci. Math. 35, 7-8 (1987), 441-448. MR 0939005 |
| Reference:
|
[11] Krasnoselski M. A., Ruticki Ia. B.: Convex functions and Orlicz spaces.Groningen 1961 (translation). |
| Reference:
|
[12] Luxemburg W. A. J.: Banach function spaces.Thesis, Delft 1955. Zbl 0068.09204, MR 0072440 |
| Reference:
|
[13] Musielak J.: Orlicz spaces and modular spaces.Lecture Notes in Math., Springer-Verlag, 1034 (1983) . Zbl 0557.46020, MR 0724434 |
| Reference:
|
[14] Musielak J., Orlicz W.: On modular spaces.Studia Math. 18 (1959), 49-65. Zbl 0099.09202, MR 0101487 |
| Reference:
|
[15] Milnes H. W.: Convexity of Orlicz spaces.Pacific J. Math. (1957), 1451-1486. Zbl 0078.28705, MR 0107173 |
| Reference:
|
[16] Schaffer J. J.: Geometry of spheres in normed spaces.Lecture Notes in Math., Springer Verlag, 20 (1976) . MR 0467256 |
| . |
