On some convexities of Orlicz and Orlicz-Bochner spaces

S. Chen; Henryk Hudzik

Commentationes Mathematicae Universitatis Carolinae (1988)

  • Volume: 029, Issue: 1, page 13-29
  • ISSN: 0010-2628

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Chen, S., and Hudzik, Henryk. "On some convexities of Orlicz and Orlicz-Bochner spaces." Commentationes Mathematicae Universitatis Carolinae 029.1 (1988): 13-29. <http://eudml.org/doc/17592>.

@article{Chen1988,
author = {Chen, S., Hudzik, Henryk},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {uniformly normal structure; infinite nonatomic measure; uniformly convex and uniformly smooth spaces; Orlicz space; uniformly non-square; nearly flat; Orlicz-Bochner spaces},
language = {eng},
number = {1},
pages = {13-29},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On some convexities of Orlicz and Orlicz-Bochner spaces},
url = {http://eudml.org/doc/17592},
volume = {029},
year = {1988},
}

TY - JOUR
AU - Chen, S.
AU - Hudzik, Henryk
TI - On some convexities of Orlicz and Orlicz-Bochner spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1988
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 029
IS - 1
SP - 13
EP - 29
LA - eng
KW - uniformly normal structure; infinite nonatomic measure; uniformly convex and uniformly smooth spaces; Orlicz space; uniformly non-square; nearly flat; Orlicz-Bochner spaces
UR - http://eudml.org/doc/17592
ER -

References

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  4. K. GOEBEL S. REICH, Uniform convexity, hyperbolic metric and nonexpansive mappings, Marcel Dekker, New York, Basel (1984). (1984) MR0744194
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  13. A. KAMIŃSKA B. TURETT, Uniformly non- l n ( 1 ) Orlicz-Bochner spaces, Bull. Acad. Polon. Sci. Math, to appear. 
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  17. H. W. MILNES, Convexity of Orlicz spaces, Pacific J. Math. 7 (1957), 1451-1486. (1957) Zbl0078.28705MR0107173
  18. J. MUSIELAK, Orlicz spaces and modular spaces, Lecture Notes in Math. 1034 (1983). (1983) Zbl0557.46020MR0724434
  19. J. J. SCHÄFFER, Geometry of spheres in normed spaces, Lecture Notes in Math. 20 (1976). (1976) MR0467256
  20. CHEN SHUTAO, Nonsquareness of Orlicz spaces, Chinese Anal. Math. 6 A (5) (1985), 619-624. (1985) MR0843901
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  22. WANG YUWEN, CHEN SHUTAO, Non-squareness, B-convexity and flatness of Orlicz spaces with Orlicz norm, Commentationes Math., to appear. 

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