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Orlicz lattices with modular topology. II
Commentationes Mathematicae Universitatis Carolinae, Tome 30 (1989) no. 2, pp. 271-279 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 46A22, 46A40, 46E30 
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Nowak, Marian. Orlicz lattices with modular topology. II. Commentationes Mathematicae Universitatis Carolinae, Tome 30 (1989) no. 2, pp. 271-279. http://geodesic.mathdoc.fr/item/CMUC_1989_30_2_a8/

[1] Aliprantis C. D., Burkinshaw O.: Locally solid Riesz spaces. Academic Press, New York, 1978. | MR | Zbl

[2] Bourbaki N.: Espaces vectoriels topologiques. Ermanne et Cie, Paris, 1955. | Zbl

[3] Edwards R. E.: Functional analysis. Holt, Rinchart and Winston, New York, 1965. | MR | Zbl

[4] Hudzik H., Musielak J., Urbański R.: Linear operations in modular spaces. Comment. Math. 23 (1983), 33-40. | MR

[5] Kantorovich L. V., Akilov G. P.: Functional analysis. Nauka, Moscow, 1984. | MR | Zbl

[6] Köthe G.: Topological vector spaces. II. Springer-Verlag, New York, Heidelberg, Berlin, 1979. | MR

[7] Krasnoselskii M. A., Rutickii Ya. B.: Convex functions and Orlicz spaces. Noordhof Ltd. Groningen, 1961. | MR

[8] Luxemburg W. A.: Banach function spaces. Delft, 1955. | MR | Zbl

[9] Musielak J., Orlicz W.: Some remarks on modular spaces. Bull. Acad. Polon. Sci. 7 (1959), 661-668. | MR | Zbl

[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

[11] Nakano H.: Modular semi-ordered linear spaces. Maruzen CO. Nihonbashi, Tokyo, 1951. | MR

[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

[13] Nowak M.: A characterization of the Mackey topology $\tau{(L^{\varphi},L^{varphi^\ast})} on Orlicz spaces. ibidem 34 (1986), 577-583. | MR

[14] Nowak M.: Orlicz lattices with modular topology I. CMUC 30 (1989) 261-270. | MR | Zbl

[15] Nowak M.: On the order structure of Orlicz lattices. Bull. Pol. Ac. Math (to appear). | MR | Zbl

[16] Nowak M.: Mixed topology on normed function spaces. I. ibidem, (to appear). | Zbl

[17] Orlicz W.: A note on modular spaces. VII. Bull. Acad. Polon. Sci. 12 (1964), 305-309. | MR | Zbl

[18] Peressini A.: Order topological vector spaces. Harper and Row, New York, Evanston, London, 1967. | MR

[19] Waelbroeck L.: Topological vector spaces and algebras. Springer, Lect. Notes in Math. 230 (1971). | MR | Zbl

[20] Webb J. H.: Sequential convergence in locally convex spaces. Proc. Camb. Phil. Soc. 64 (1968), 341-364. | MR | Zbl

[21] Wnuk W.: Representations of Orlicz lattices. Dissert. Math. 235 (1984). | MR | Zbl