| Title:
|
Linear functionals on some non-locally convex generalized Orlicz spaces (English) |
| Author:
|
Płuciennik, Ryszard |
| Author:
|
Wisła, Marek |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
29 |
| Issue:
|
1 |
| Year:
|
1988 |
| Pages:
|
103-116 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46E30 |
| MSC:
|
46E40 |
| idZBL:
|
Zbl 0647.46031 |
| idMR:
|
MR937554 |
| . |
| Date available:
|
2008-06-05T21:31:52Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106602 |
| . |
| Reference:
|
[1] BANACH S.: Théorie des opérations linéaires.Warszawa: Monografie Matematyczne 1932. Zbl 0005.20901 |
| Reference:
|
[2] CATER S.: Continuous linear functionals on certain topological vector spaces.Pacific J. Math. 13 (1963), 65-71. Zbl 0115.10003, MR 0160122 |
| Reference:
|
[3] CHEN Shutao : On vector valued Orlicz spaces.Chin. Ann. Math. 5 B (1984), 293-304. Zbl 0531.46022, MR 0768974 |
| Reference:
|
[4] DAY M. M.: The spaces $L^p$ with $0<p<1$.Bull. Amer. Math. Soc. 46 (1940), 816-823. MR 0002700 |
| Reference:
|
[5] DREWNOWSKI L.: Compact operators on Musielak-Orlicz spaces.Ann. Soc. Math. Polon., Comment. Math, (to appear). Zbl 0676.46024, MR 0978274 |
| Reference:
|
[6] GRAMSCH B.: Die Klasse metrischer linearer Raume $L_{\phi}$.Math. Ann. 171 (1967), 61-78. MR 0209819 |
| Reference:
|
[7] HERNÁNDEZ F. L.: Continuous functionals on a class of Orlicz spaces.Houston 3. Math. 11 (1985), 171-181. MR 0792193 |
| Reference:
|
[8] HERNÁNDEZ F. L.: A note on the Hahn-Banach approximation property in Orlicz spaces.Ann. Sc. Math. Quebec 9 (1985), 23-29. MR 0792352 |
| Reference:
|
[9] HIMMELBERG C. J.: Measurable relations.Fund. Math. 87 (1975), 53-72. Zbl 0296.28003, MR 0367142 |
| Reference:
|
[10] HUDZIK H., MUSIELAK J., URBAŃSKI R.: Linear operators in modular spaces.Ann. Soc Math. Polon., Comment. Math. 23 (1983), 33-40. MR 0709168 |
| Reference:
|
[11] JAMISON J. E., LOOMIS I.: Isometries of Orlicz spaces of vector valued functions.Math. Z. 193 (1986), 363-371. MR 0862882 |
| Reference:
|
[12] KOZEK A.: Orlicz spaces of functions with values in Banach spaces.Ann. Soc. Math. Polon., Comment. Math. 19 (1977), 259-288. Zbl 0352.46018, MR 0477762 |
| Reference:
|
[13] MUSIELAK J.: Orlicz spaces and modular spaces.Lecture Notes in Math., Berlin - Heidelberg - New York - Tokyo: Springer 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] MUSIELAK J., ORLICZ W.: Some remarks on modular spaces.Bull. Acad. Polon. Sci., Sér. sci. math., astr. et phys. 7 (1959), 661-668. Zbl 0099.09202, MR 0112017 |
| Reference:
|
[16] NAKANO H.: Generalized modular spaces.Studia Math. 31 (1968), 439-449. Zbl 0172.39401, MR 0234248 |
| Reference:
|
[17] ORLICZ W.: Über eine gewisse Klasse von Räumen vom Typus B.Bull. Int. Acad. Polon. Sci., Sér. A 8 (1932), 207-220. Zbl 0006.31503 |
| Reference:
|
[18] PALLASCHKE D., URBAŃSKI R.: On linear functionals in modular spaces over a field with valuation.Bull. Pol. Ac.: Math. 33 (1985), 25-30. MR 0798724 |
| Reference:
|
[19] R0LEWICZ S.: Some remarks on the spaces N(L) and N(l).Studia Math. 18 (1959), 1-9. |
| Reference:
|
[20] ROLEWICZ S.: Metric linear spaces.Warszawa: Polish Scientific Publishers 1984. MR 0802450 |
| Reference:
|
[21] SKAFF M. S.: Vector valued Orlicz spaces generalized N-functions, I.Pacific J. Math. 28 (1969), 193-206. Zbl 0176.11002, MR 0415305 |
| Reference:
|
[22] SKAFF M. S.: Vector valued Orlicz spaces, II.Pacific J. Math. 28 (1969), 413-430. Zbl 0176.11003, MR 0415306 |
| Reference:
|
[23] TURPIN P.: Opérateurs linéaires entre espaces d'Orlicz non localement convexes.Studia Math. 46 (1973), 153-165. Zbl 0254.46022, MR 0343010 |
| Reference:
|
[24J TURPIN P.: Convexités dans les espaces vectoriels topologiques généraux.Dissertationes Math. 131 (1976), 1-224. MR 0423044 |
| Reference:
|
[25] WISŁA M.: Some remarks on Kozek Condition (B).Bull. Pol. Ac.: Math. 32 (1984), 407-415. MR 0782756 |
| . |
