On uniformly nonsquare points and nonsquare points of Orlicz spaces

Ting Fu Wang; Zhong Rui Shi; Yanhong Li

Commentationes Mathematicae Universitatis Carolinae (1992)

  • Volume: 33, Issue: 3, page 477-484
  • ISSN: 0010-2628

Abstract

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For Orlicz spaces endowed with the Orlicz norm and the Luxemburg norm, the criteria for uniformly nonsquare points and nonsquare points are given.

How to cite

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Wang, Ting Fu, Shi, Zhong Rui, and Li, Yanhong. "On uniformly nonsquare points and nonsquare points of Orlicz spaces." Commentationes Mathematicae Universitatis Carolinae 33.3 (1992): 477-484. <http://eudml.org/doc/247420>.

@article{Wang1992,
abstract = {For Orlicz spaces endowed with the Orlicz norm and the Luxemburg norm, the criteria for uniformly nonsquare points and nonsquare points are given.},
author = {Wang, Ting Fu, Shi, Zhong Rui, Li, Yanhong},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Orlicz space; uniformly nonsquare point; nonsquare point; uniformly nonsquare point; Orlicz spaces with the Orlicz and the Luxemburg norm},
language = {eng},
number = {3},
pages = {477-484},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On uniformly nonsquare points and nonsquare points of Orlicz spaces},
url = {http://eudml.org/doc/247420},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Wang, Ting Fu
AU - Shi, Zhong Rui
AU - Li, Yanhong
TI - On uniformly nonsquare points and nonsquare points of Orlicz spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 3
SP - 477
EP - 484
AB - For Orlicz spaces endowed with the Orlicz norm and the Luxemburg norm, the criteria for uniformly nonsquare points and nonsquare points are given.
LA - eng
KW - Orlicz space; uniformly nonsquare point; nonsquare point; uniformly nonsquare point; Orlicz spaces with the Orlicz and the Luxemburg norm
UR - http://eudml.org/doc/247420
ER -

References

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  1. James R.C., Uniformly nonsquare Banach spaces, Ann. Math. 80:3 (1964), 542-550. (1964) MR0173932
  2. Schäffer J.J., Geometry of Sphere in Normed Spaces, Lect. Not. Pure Appl. Math. 20 (1976). (1976) MR0467256
  3. Wu C., Wang T., Chen S., Wang Y., Geometry of Orlicz spaces, Printing House H.I.T., Harbin, 1986. 
  4. Chen S., Wang Y., On the definition of nonsquareness in normed spaces, China Ann. Math. 9A , 3 (1988), 330-334. (1988) MR0997134
  5. Chen S., Nonsquareness of Orlicz spaces, ibid. 6A , 5 (1985), 607-613. (1985) MR0843901
  6. Wang Y., Chen S., Nonsquareness, B-convexity and flatness of Orlicz spaces with Orlicz norm, Prace Mat. 28 (1988), 155-165. (1988) MR0988969
  7. Hudzik H., Uniformly non- 1 n ( 1 ) Orlicz spaces with Luxemburg norm, Studia Math. 81 , 3 (1985), 271-284. (1985) MR0808569
  8. Hudzik H., Locally Uniformly Non- 1 n ( 1 ) Orlicz Spaces, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II-numero 10 (1985), 49-56. MR0894271

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