Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Nowak, Marian. Orlicz lattices with modular topology. I. Commentationes Mathematicae Universitatis Carolinae, Tome 30 (1989) no. 2, pp. 261-270. http://geodesic.mathdoc.fr/item/CMUC_1989_30_2_a7/
@article{CMUC_1989_30_2_a7,
author = {Nowak, Marian},
title = {Orlicz lattices with modular topology. {I}},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {261--270},
year = {1989},
volume = {30},
number = {2},
mrnumber = {1014127},
zbl = {0679.46021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1989_30_2_a7/}
}
[1] Aliprantis C. D., Burkinshaw O.: Locally solid Riesz spaces. Academic Press, New York, 1978. | MR | Zbl
[2] Bourbaki N.: Espaces vestoriels topologiques. Ermann et Cie, Paris, 1955.
[3] Cristescu R.: Topological vector spaces. Nordhoff Inter. Publ. Leyden, 1977. | MR | Zbl
[4] Kantorovich L. V., Vulikh B. Z., Pinsker A. G.: Functional analysis in partially ordered spaces. Gostehizdat, Moscow, 1950. | Zbl
[5] Kantorovich L. V., Akilov G. P.: Functional analysis. Nauka, Moscow, 1984. | MR | Zbl
[6] Leśniewicz R.: Generalized modular spaces. I. Comment. Math. 18 (1975), 223-242. | MR
[7] Leśniewicz R.: Generalized modular spaces. II. ibidem 18 (1975), 243-271.
[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
[9] Luxemburg W. A.: Banach function spaces. Delft, 1955. | MR | Zbl
[10] Luxemburg W. A., Zaanen A. C.: Riesz spaces. I. North-Holland Publ. Comp. Amsterdam, London, 1971. | MR
[11] Matuszewska W.: On generalized Orlicz spaces. Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 8 (1960), 349-353. | MR | Zbl
[12] Musielak J., Orlicz W.: On modular spaces. Studia Math. 18 (1959), 49-65. | MR | Zbl
[13] Musielak J.: Orlicz spaces and modular spaces. Springer, Berlin, Heidelberg, New York, Tokyo, 1983. | MR | Zbl
[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
[15] Nowak M.: On modular topology on Orlicz spaces. ibidem 36 (1988), 41-50. | MR
[16] Nowak M.: On the order structure of Orlicz lattices. ibidem 36 (1988). | MR | Zbl
[17] Nowak M.: Orlicz lattices with modular topology. II. (to appear). | Zbl
[18] Orlicz W.: A note on modular spaces. VII. Bul. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 12 (1964), 305-309. | MR | Zbl
[19] Peressini A.: Order topological vector spaces. Harper and Row, New York, London, 1967. | MR
[20] Shapiro J. H.: Extension of linear functionals on F-spaces with bases. Duke Math. J. 37 (1970), 639-645. | MR | Zbl
[21] Wiweger A.: Linear spaces with mixed topologies. Studia Math. 20 (1961), 47-68. | MR
[22] Wnuk W.: Representations of Orlicz lattices. Dissert.Math. 235 (1984). | MR | Zbl