On the WM property of Orlicz sequence spaces endowed with the Orlicz norm

Wang Baoxiang; Ting Fu Wang; Hao Cuixia

Commentationes Mathematicae Universitatis Carolinae (1997)

  • Volume: 38, Issue: 1, page 1-13
  • ISSN: 0010-2628

Abstract

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We obtain the criterion of the WM property for Orlicz sequence spaces endowed with the Orlicz norm.

How to cite

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Baoxiang, Wang, Wang, Ting Fu, and Cuixia, Hao. "On the WM property of Orlicz sequence spaces endowed with the Orlicz norm." Commentationes Mathematicae Universitatis Carolinae 38.1 (1997): 1-13. <http://eudml.org/doc/248080>.

@article{Baoxiang1997,
abstract = {We obtain the criterion of the WM property for Orlicz sequence spaces endowed with the Orlicz norm.},
author = {Baoxiang, Wang, Wang, Ting Fu, Cuixia, Hao},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Orlicz space; Orlicz norm; WM property; Orlicz space; Orlicz norm; WM property},
language = {eng},
number = {1},
pages = {1-13},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the WM property of Orlicz sequence spaces endowed with the Orlicz norm},
url = {http://eudml.org/doc/248080},
volume = {38},
year = {1997},
}

TY - JOUR
AU - Baoxiang, Wang
AU - Wang, Ting Fu
AU - Cuixia, Hao
TI - On the WM property of Orlicz sequence spaces endowed with the Orlicz norm
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 1
SP - 1
EP - 13
AB - We obtain the criterion of the WM property for Orlicz sequence spaces endowed with the Orlicz norm.
LA - eng
KW - Orlicz space; Orlicz norm; WM property; Orlicz space; Orlicz norm; WM property
UR - http://eudml.org/doc/248080
ER -

References

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  1. Panda B.B., Kapoor O.P., A generalization of locally uniform convexity of the norm, J. Math. Anal. Appl. 52 (1975), 300-308. (1975) MR0380365
  2. Shutao Chen, Yanzheng Duan, WM property of Orlicz spaces, Northeast. Math. J. 8.4 (1992), 498-502. (1992) MR1210204
  3. Shutao Chen, Yanming Lu, Baoxiang Wang, WM property, LKR and CLUR of Orlicz sequence spaces, Fasciculi Math. 22 (1991), 19-25. (1991) MR1175959
  4. Yanzheng Duan, Several structural problems of Orlicz spaces, Doctoral thesis, Harbin Institute of Technology, 1990. 
  5. Wu C.X., Wang T.F., Chen S.T., Wang Y.W., Geometry of Orlicz spaces, Harbin, 1987. 
  6. Chen S., Hudzik H., Kaminska A., Support functionals and smooth points in Orlicz function spaces equipped with the Orlicz norm, Math. Japonica 39 (1994), 271-279. (1994) Zbl0804.46035MR1270637

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