Orlicz lattices with modular topology. I.

Marian Nowak

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 2, page 261-270
  • ISSN: 0010-2628

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Nowak, Marian. "Orlicz lattices with modular topology. I.." Commentationes Mathematicae Universitatis Carolinae 030.2 (1989): 261-270. <http://eudml.org/doc/17737>.

@article{Nowak1989,
author = {Nowak, Marian},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Riesz space; modular; Orlicz lattices; modular topology; mixed topology; -Lebesgue; -Fatou; -Levi},
language = {eng},
number = {2},
pages = {261-270},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Orlicz lattices with modular topology. I.},
url = {http://eudml.org/doc/17737},
volume = {030},
year = {1989},
}

TY - JOUR
AU - Nowak, Marian
TI - Orlicz lattices with modular topology. I.
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 2
SP - 261
EP - 270
LA - eng
KW - Riesz space; modular; Orlicz lattices; modular topology; mixed topology; -Lebesgue; -Fatou; -Levi
UR - http://eudml.org/doc/17737
ER -

References

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  1. Aliprantis C. D., Burkinshaw O., Locally solid Riesz spaces, Academic Press, New York, 1978. (1978) Zbl0402.46005MR0493242
  2. Bourbaki N., Espaces vestoriels topologiques, Ermann et Cie, Paris, 1955. (1955) 
  3. Cristescu R., Topological vector spaces, Nordhoff Inter. Publ. Leyden, 1977. (1977) Zbl0345.46001MR0454552
  4. Kantorovich L. V., Vulikh B. Z., Pinsker A. G., Functional analysis in partially ordered spaces, Gostehizdat, Moscow, 1950. (1950) Zbl0037.07201
  5. Kantorovich L. V., Akilov G. P., Functional analysis, Nauka, Moscow, 1984. (1984) Zbl0555.46001MR0788496
  6. Leśniewicz R., Generalized modular spaces. I., Comment. Math. 18 (1975), 223-242. (1975) Zbl0327.46020MR0394092
  7. Leśniewicz R., Generalized modular spaces. II., ibidem 18 (1975), 243-271. (1975) Zbl0327.46020
  8. Leśniewicz R., Orlicz W., A note on modular spaces. XIV., Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 22 (1974), 915-923. (1974) Zbl0297.46026MR0361716
  9. Luxemburg W. A., Banach function spaces, Delft, 1955. (1955) Zbl0068.09204MR0072440
  10. Luxemburg W. A., Zaanen A. C., Riesz spaces. I., North-Holland Publ. Comp. Amsterdam, London, 1971. (1971) Zbl0231.46014MR0511676
  11. Matuszewska W., On generalized Orlicz spaces, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 8 (1960), 349-353. (1960) Zbl0101.08903MR0126157
  12. Musielak J., Orlicz W., On modular spaces, Studia Math. 18 (1959), 49-65. (1959) Zbl0099.09202MR0101487
  13. Musielak J., Orlicz spaces and modular spaces, Springer, Berlin, Heidelberg, New York, Tokyo, 1983. (1983) Zbl0557.46020MR0724434
  14. Nowak M., On the finest of all linear topologies on Orlicz spaces for which ϕ -modular convergence implies convergence in these topologies, Bull. Poion. Ac. Math. 32 (1984), 439-445. (1984) Zbl0584.46018MR0782760
  15. Nowak M., On modular topology on Orlicz spaces, ibidem 36 (1988), 41-50. (1988) Zbl0767.46019MR1760099
  16. Nowak M., On the order structure of Orlicz lattices, ibidem 36 (1988). (1988) Zbl0767.46005MR1101668
  17. Nowak M., Orlicz lattices with modular topology. II., (to appear). Zbl0679.46022
  18. Orlicz W., A note on modular spaces. VII., Bul. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 12 (1964), 305-309. (1964) Zbl0135.16202MR0169032
  19. Peressini A., Order topological vector spaces, Harper and Row, New York, London, 1967. (1967) Zbl0169.14801MR0227731
  20. Shapiro J. H., Extension of linear functionals on F-spaces with bases, Duke Math. J. 37 (1970), 639-645. (1970) Zbl0205.41002MR0270111
  21. Wiweger A., Linear spaces with mixed topologies, Studia Math. 20 (1961), 47-68. (1961) Zbl0097.31301MR0133664
  22. Wnuk W., Representations of Orlicz lattices, Dissert.Math. 235 (1984). (1984) Zbl0566.46018MR0820077

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