On the non- l n ( 1 ) and locally uniformly non- l n ( 1 ) properties, and l 1 copies in Musielak-Orlicz spaces

Ghassan Alherk

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 3, page 435-443
  • ISSN: 0010-2628

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Alherk, Ghassan. "On the non-$l_n^{(1)}$ and locally uniformly non-$l_n^{(1)}$ properties, and $l^1$ copies in Musielak-Orlicz spaces." Commentationes Mathematicae Universitatis Carolinae 031.3 (1990): 435-443. <http://eudml.org/doc/17866>.

@article{Alherk1990,
author = {Alherk, Ghassan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Luxemburg norm; Musielak-Orlicz space; non-atomic measure; locally uniformly non-; -condition},
language = {eng},
number = {3},
pages = {435-443},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the non-$l_n^\{(1)\}$ and locally uniformly non-$l_n^\{(1)\}$ properties, and $l^1$ copies in Musielak-Orlicz spaces},
url = {http://eudml.org/doc/17866},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Alherk, Ghassan
TI - On the non-$l_n^{(1)}$ and locally uniformly non-$l_n^{(1)}$ properties, and $l^1$ copies in Musielak-Orlicz spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 3
SP - 435
EP - 443
LA - eng
KW - Luxemburg norm; Musielak-Orlicz space; non-atomic measure; locally uniformly non-; -condition
UR - http://eudml.org/doc/17866
ER -

References

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  2. Fuentes F., Hernandez F. L., On weighted Orlicz sequence spaces and their subspaces, Rocky Mount. Math. J. 18, 3 (1988), 585-599. (1988) Zbl0677.46002MR0972651
  3. Grzaslewicz R., Hudzik H., Orlicz W., Uniformly non- l n ( 1 ) property in some normed spaces, Bull. Acad. Polon. Sci. Math. 34, 3-4 (1986), 161-171. (1986) MR0861173
  4. Hudzik H., Locally uniformly non- l n ( 1 ) Orlicz spaces, Proceed. of the 13th Winter School on Abstract Analysis, Srní, January 20-27, 1985, Supplemento ai Rendiconti del Circolo Matematico di Palermo Ser. II, num. 10 (1985), 49-56. (1985) MR0894271
  5. Hudzik H., Uniform convexity of Musielak-Orlicz spaces with Luxemburg's norm, Commentationes Math. 23 (1983), 21-32. (1983) Zbl0595.46027MR0709167
  6. Hudzik H., On some equivalent conditions in Musielak-Orlicz spaces, Commentationes Math. 24 (1984), 57-64. (1984) Zbl0564.46022MR0759055
  7. Hudzik H., Strict convexity of Musielak-Orlicz spaces with Luxemburg's norm, Bull. Acad. Polon. Sci. Math. 29, 5-6 (1981), 235-247. (1981) Zbl0479.46014MR0640468
  8. Hudzik H., Orlicz spaces containing a copy of L 1 , Math. Japonica. 
  9. Hudzik H., Kaminska A., On uniformly convexifiable and B-convex Musielak-Orlicz spaces, Commentationes Math. 25 (1985), 59-75. (1985) Zbl0588.46022MR0795121
  10. Hudzik H., Kaminska A., Kurc W., Uniformly non- l n ( 1 ) Musielak-Orlicz spaces, Bull. Acad. Polon. Sci. Math. 35, 7-8 (1987), 441-448. (1987) MR0939005
  11. Krasnoselski M. A., Ruticki Ia. B., Convex functions and Orlicz spaces, Groningen 1961 (translation). (1961) 
  12. Luxemburg W. A. J., Banach function spaces, Thesis, Delft 1955. (1955) Zbl0068.09204MR0072440
  13. Musielak J., Orlicz spaces and modular spaces, Lecture Notes in Math., Springer-Verlag, 1034 (1983) . (1983) Zbl0557.46020MR0724434
  14. Musielak J., Orlicz W., On modular spaces, Studia Math. 18 (1959), 49-65. (1959) Zbl0099.09202MR0101487
  15. Milnes H. W., Convexity of Orlicz spaces, Pacific J. Math. (1957), 1451-1486. (1957) Zbl0078.28705MR0107173
  16. Schaffer J. J., Geometry of spheres in normed spaces, Lecture Notes in Math., Springer Verlag, 20 (1976) . (1976) MR0467256

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