| Title:
|
Orlicz lattices with modular topology. I. (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:
|
261-270 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46A40 |
| MSC:
|
46E30 |
| idZBL:
|
Zbl 0679.46021 |
| idMR:
|
MR1014127 |
| . |
| Date available:
|
2008-06-05T21:38:30Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106744 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/106745 |
| . |
| 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 vestoriels topologiques.Ermann et Cie, Paris, 1955. |
| Reference:
|
[3] Cristescu R.: Topological vector spaces.Nordhoff Inter. Publ. Leyden, 1977. Zbl 0345.46001, MR 0454552 |
| Reference:
|
[4] Kantorovich L. V., Vulikh B. Z., Pinsker A. G.: Functional analysis in partially ordered spaces.Gostehizdat, Moscow, 1950. Zbl 0037.07201 |
| Reference:
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[5] Kantorovich L. V., Akilov G. P.: Functional analysis.Nauka, Moscow, 1984. Zbl 0555.46001, MR 0788496 |
| Reference:
|
[6] Leśniewicz R.: Generalized modular spaces. I..Comment. Math. 18 (1975), 223-242. MR 0394092 |
| Reference:
|
[7] Leśniewicz R.: Generalized modular spaces. II..ibidem 18 (1975), 243-271. |
| Reference:
|
[8] Leśniewicz R., Orlicz W.: A note on modular spaces. XIV..Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 22 (1974), 915-923. MR 0361716 |
| Reference:
|
[9] Luxemburg W. A.: Banach function spaces.Delft, 1955. Zbl 0068.09204, MR 0072440 |
| Reference:
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[10] Luxemburg W. A., Zaanen A. C.: Riesz spaces. I..North-Holland Publ. Comp. Amsterdam, London, 1971. MR 0511676 |
| Reference:
|
[11] Matuszewska W.: On generalized Orlicz spaces.Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 8 (1960), 349-353. Zbl 0101.08903, MR 0126157 |
| Reference:
|
[12] Musielak J., Orlicz W.: On modular spaces.Studia Math. 18 (1959), 49-65. Zbl 0099.09202, MR 0101487 |
| Reference:
|
[13] Musielak J.: Orlicz spaces and modular spaces.Springer, Berlin, Heidelberg, New York, Tokyo, 1983. Zbl 0557.46020, MR 0724434 |
| Reference:
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[14] Nowak M.: On the finest of all linear topologies on Orlicz spaces for which $\varphi $-modular convergence implies convergence in these topologies.Bull. Poion. Ac. Math. 32 (1984), 439-445. MR 0782760 |
| Reference:
|
[15] Nowak M.: On modular topology on Orlicz spaces.ibidem 36 (1988), 41-50. MR 1760099 |
| Reference:
|
[16] Nowak M.: On the order structure of Orlicz lattices.ibidem 36 (1988). Zbl 0767.46005, MR 1101668 |
| Reference:
|
[17] Nowak M.: Orlicz lattices with modular topology. II..(to appear). Zbl 0679.46022 |
| Reference:
|
[18] Orlicz W.: A note on modular spaces. VII..Bul. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 12 (1964), 305-309. Zbl 0135.16202, MR 0169032 |
| Reference:
|
[19] Peressini A.: Order topological vector spaces.Harper and Row, New York, London, 1967. MR 0227731 |
| Reference:
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[20] Shapiro J. H.: Extension of linear functionals on F-spaces with bases.Duke Math. J. 37 (1970), 639-645. Zbl 0205.41002, MR 0270111 |
| Reference:
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[21] Wiweger A.: Linear spaces with mixed topologies.Studia Math. 20 (1961), 47-68. MR 0133664 |
| Reference:
|
[22] Wnuk W.: Representations of Orlicz lattices.Dissert.Math. 235 (1984). Zbl 0566.46018, MR 0820077 |
| . |
