# Reflexive Orlicz spaces have uniformly normal structure

Studia Mathematica (1994)

- Volume: 109, Issue: 2, page 197-208
- ISSN: 0039-3223

## Access Full Article

top## Abstract

top## How to cite

topChen, Shutao, and Sun, Huiying. "Reflexive Orlicz spaces have uniformly normal structure." Studia Mathematica 109.2 (1994): 197-208. <http://eudml.org/doc/216069>.

@article{Chen1994,

abstract = {We prove that an Orlicz space equipped with the Luxemburg norm has uniformly normal structure if and only if it is reflexive.},

author = {Chen, Shutao, Sun, Huiying},

journal = {Studia Mathematica},

keywords = {Orlicz space equipped with the Luxemburg norm; uniformly normal structure; reflexive},

language = {eng},

number = {2},

pages = {197-208},

title = {Reflexive Orlicz spaces have uniformly normal structure},

url = {http://eudml.org/doc/216069},

volume = {109},

year = {1994},

}

TY - JOUR

AU - Chen, Shutao

AU - Sun, Huiying

TI - Reflexive Orlicz spaces have uniformly normal structure

JO - Studia Mathematica

PY - 1994

VL - 109

IS - 2

SP - 197

EP - 208

AB - We prove that an Orlicz space equipped with the Luxemburg norm has uniformly normal structure if and only if it is reflexive.

LA - eng

KW - Orlicz space equipped with the Luxemburg norm; uniformly normal structure; reflexive

UR - http://eudml.org/doc/216069

ER -

## References

top- [1] J. S. Bae, Reflexivity of a Banach space with a uniformly normal structure, Proc. Amer. Math. Soc. 90 (1984), 269-270. Zbl0548.46014
- [2] L. P. Belluce, W. A. Kirc and E. F. Steiner, Normal structure in Banach spaces, Pacific J. Math. 26 (1968), 433-440. Zbl0164.15001
- [3] E. Casini and E. Maluta, Fixed point of uniformly Lipschitzian mapping in spaces with uniformly normal structure, Nonlinear Anal. 104 (1984), 285-292.
- [4] S. Chen and Y. Duan, Normal structure and weakly normal structure of Orlicz spaces, Comment. Math. Univ. Carolinae 32 (1991), 219-225. Zbl0760.46023
- [5] A. Kamińska, On uniform convexity of Orlicz spaces, Indag. Math. 44 (1982), 27-36. Zbl0489.46025
- [6] M. A. Krasnosel'skiĭ and Ya. B. Rutitskiĭ, Convex Functions and Orlicz Spaces, Nauka, Moscow, 1958 (in Russian).
- [7] T. Landes, Normal structure and weakly normal structure of Orlicz sequence spaces, Trans. Amer. Math. Soc. 285 (1981), 523-533. Zbl0594.46010
- [8] S. Wang, Differentiability of Carathéodory operators, Sci. Bull. Math. 25 (1980), 42-45.
- [9] T. Wang and B. Wang, Normal structure and sum-property of Orlicz sequence spaces, Chinese Math. Research & Exposition 12 (3) (1992).
- [10] C. Wu, T. Wang, S. Chen and Y. Wang, Geometrical Theory of Orlicz Spaces, Harbin Inst. of Tech. Press, 1986 (in Chinese).

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.