Orlicz lattices with modular topology. II.

Marian Nowak

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 2, page 271-279
  • ISSN: 0010-2628

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Nowak, Marian. "Orlicz lattices with modular topology. II.." Commentationes Mathematicae Universitatis Carolinae 030.2 (1989): 271-279. <http://eudml.org/doc/17738>.

@article{Nowak1989,
author = {Nowak, Marian},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Riesz space; convex modular; modular topology; associated space; sequentially modular continuous functionals on Orlicz lattices; extension property; spaces of linear mappings},
language = {eng},
number = {2},
pages = {271-279},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Orlicz lattices with modular topology. II.},
url = {http://eudml.org/doc/17738},
volume = {030},
year = {1989},
}

TY - JOUR
AU - Nowak, Marian
TI - Orlicz lattices with modular topology. II.
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 2
SP - 271
EP - 279
LA - eng
KW - Riesz space; convex modular; modular topology; associated space; sequentially modular continuous functionals on Orlicz lattices; extension property; spaces of linear mappings
UR - http://eudml.org/doc/17738
ER -

References

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  2. Bourbaki N., Espaces vectoriels topologiques, Ermanne et Cie, Paris, 1955. (1955) Zbl0067.08302
  3. Edwards R. E., Functional analysis, Holt, Rinchart and Winston, New York, 1965. (1965) Zbl0182.16101MR0221256
  4. Hudzik H., Musielak J., Urbański R., Linear operations in modular spaces, Comment. Math. 23 (1983), 33-40. (1983) Zbl0595.46028MR0709168
  5. Kantorovich L. V., Akilov G. P., Functional analysis, Nauka, Moscow, 1984. (1984) Zbl0555.46001MR0788496
  6. Köthe G., Topological vector spaces. II., Springer-Verlag, New York, Heidelberg, Berlin, 1979. (1979) Zbl0417.46001MR0551623
  7. Krasnoselskii M. A., Rutickii Ya. B., Convex functions and Orlicz spaces, Noordhof Ltd. Groningen, 1961. (1961) MR0126722
  8. Luxemburg W. A., Banach function spaces, Delft, 1955. (1955) Zbl0068.09204MR0072440
  9. Musielak J., Orlicz W., Some remarks on modular spaces, Bull. Acad. Polon. Sci. 7 (1959), 661-668. (1959) Zbl0099.09202MR0112017
  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. (1980) Zbl0463.46021MR0751051
  11. Nakano H., Modular semi-ordered linear spaces, Maruzen CO. Nihonbashi, Tokyo, 1951. (1951) Zbl0042.36001MR0038565
  12. Nowak M., On the finest of all linear topologies on Orlicz spaces for which ϕ -modular convergence implies convergence in these topologies. III., Bull. Pol. Ac. Math. 34 (1986), 19-26. (1986) Zbl0639.46030MR0850309
  13. Nowak M., [unknown], ibidem 34 (1986), 577-583. (1986) MR0884205
  14. Nowak M., Orlicz lattices with modular topology I., CMUC 30 (1989) 261-270. (1989) Zbl0679.46021MR1014127
  15. Nowak M., On the order structure of Orlicz lattices, Bull. Pol. Ac. Math (to appear). Zbl0767.46005MR1101668
  16. Nowak M., Mixed topology on normed function spaces. I., ibidem, (to appear). Zbl0756.46005
  17. Orlicz W., A note on modular spaces. VII., Bull. Acad. Polon. Sci. 12 (1964), 305-309. (1964) Zbl0135.16202MR0169032
  18. Peressini A., Order topological vector spaces, Harper and Row, New York, Evanston, London, 1967. (1967) Zbl0169.14801MR0227731
  19. Waelbroeck L., Topological vector spaces and algebras, Springer, Lect. Notes in Math. 230 (1971). (1971) Zbl0225.46001MR0467234
  20. Webb J. H., Sequential convergence in locally convex spaces, Proc. Camb. Phil. Soc. 64 (1968), 341-364. (1968) Zbl0157.20202MR0222602
  21. Wnuk W., Representations of Orlicz lattices, Dissert. Math. 235 (1984). (1984) Zbl0566.46018MR0820077

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