| Title:
|
Orlicz lattices with modular topology. II. (English) |
| Author:
|
Nowak, Marian |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
30 |
| Issue:
|
2 |
| Year:
|
1989 |
| Pages:
|
271-279 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46A22 |
| MSC:
|
46A40 |
| MSC:
|
46E30 |
| idZBL:
|
Zbl 0679.46022 |
| idMR:
|
MR1014127 |
| . |
| Date available:
|
2008-06-05T21:38:32Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106745 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/106744 |
| . |
| Reference:
|
[1] Aliprantis C. D., Burkinshaw O.: Locally solid Riesz spaces.Academic Press, New York, 1978. Zbl 0402.46005, MR 0493242 |
| Reference:
|
[2] Bourbaki N.: Espaces vectoriels topologiques.Ermanne et Cie, Paris, 1955. Zbl 0067.08302 |
| Reference:
|
[3] Edwards R. E.: Functional analysis.Holt, Rinchart and Winston, New York, 1965. Zbl 0182.16101, MR 0221256 |
| Reference:
|
[4] Hudzik H., Musielak J., Urbański R.: Linear operations in modular spaces.Comment. Math. 23 (1983), 33-40. MR 0709168 |
| Reference:
|
[5] Kantorovich L. V., Akilov G. P.: Functional analysis.Nauka, Moscow, 1984. Zbl 0555.46001, MR 0788496 |
| Reference:
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[6] Köthe G.: Topological vector spaces. II..Springer-Verlag, New York, Heidelberg, Berlin, 1979. MR 0551623 |
| Reference:
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[7] Krasnoselskii M. A., Rutickii Ya. B.: Convex functions and Orlicz spaces.Noordhof Ltd. Groningen, 1961. MR 0126722 |
| Reference:
|
[8] Luxemburg W. A.: Banach function spaces.Delft, 1955. Zbl 0068.09204, MR 0072440 |
| Reference:
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[9] Musielak J., Orlicz W.: Some remarks on modular spaces.Bull. Acad. Polon. Sci. 7 (1959), 661-668. Zbl 0099.09202, MR 0112017 |
| Reference:
|
[10] Musielak J., Waszak A.: Linear continuous functional over some two-modular spaces.Colloquia Math. Soc. Janos Bolyai, 35, Functions, Series, Operators, Budapest 1980, 877-890. MR 0751051 |
| Reference:
|
[11] Nakano H.: Modular semi-ordered linear spaces.Maruzen CO. Nihonbashi, Tokyo, 1951. MR 0038565 |
| Reference:
|
[12] Nowak M.: On the finest of all linear topologies on Orlicz spaces for which $\varphi $-modular convergence implies convergence in these topologies. III..Bull. Pol. Ac. Math. 34 (1986), 19-26. MR 0850309 |
| Reference:
|
[13] Nowak M.: A characterization of the Mackey topology $\tau{(L^{\varphi},L^{varphi^\ast})} on Orlicz spaces.ibidem 34 (1986), 577-583. MR 0884205 |
| Reference:
|
[14] Nowak M.: Orlicz lattices with modular topology I..CMUC 30 (1989) 261-270. Zbl 0679.46021, MR 1014127 |
| Reference:
|
[15] Nowak M.: On the order structure of Orlicz lattices.Bull. Pol. Ac. Math (to appear). Zbl 0767.46005, MR 1101668 |
| Reference:
|
[16] Nowak M.: Mixed topology on normed function spaces. I..ibidem, (to appear). Zbl 0756.46005 |
| Reference:
|
[17] Orlicz W.: A note on modular spaces. VII..Bull. Acad. Polon. Sci. 12 (1964), 305-309. Zbl 0135.16202, MR 0169032 |
| Reference:
|
[18] Peressini A.: Order topological vector spaces.Harper and Row, New York, Evanston, London, 1967. MR 0227731 |
| Reference:
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[19] Waelbroeck L.: Topological vector spaces and algebras.Springer, Lect. Notes in Math. 230 (1971). Zbl 0225.46001, MR 0467234 |
| Reference:
|
[20] Webb J. H.: Sequential convergence in locally convex spaces.Proc. Camb. Phil. Soc. 64 (1968), 341-364. Zbl 0157.20202, MR 0222602 |
| Reference:
|
[21] Wnuk W.: Representations of Orlicz lattices.Dissert. Math. 235 (1984). Zbl 0566.46018, MR 0820077 |
| . |
