A note on Schroeder-Bernstein Property and Primary Property of Orlicz function spaces

Yanzheng Duan; Shutao Chen

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 1, page 55-57
  • ISSN: 0010-2628

Abstract

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It is shown in the note that every reflexive Orlicz function space has the Schroeder-Bernstein Property and the Primary Property.

How to cite

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Duan, Yanzheng, and Chen, Shutao. "A note on Schroeder-Bernstein Property and Primary Property of Orlicz function spaces." Commentationes Mathematicae Universitatis Carolinae 39.1 (1998): 55-57. <http://eudml.org/doc/248233>.

@article{Duan1998,
abstract = {It is shown in the note that every reflexive Orlicz function space has the Schroeder-Bernstein Property and the Primary Property.},
author = {Duan, Yanzheng, Chen, Shutao},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Orlicz function spaces; Schroeder-Bernstein Property; Primary Property; Orlicz function space; complemented subspace; reflexivity},
language = {eng},
number = {1},
pages = {55-57},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A note on Schroeder-Bernstein Property and Primary Property of Orlicz function spaces},
url = {http://eudml.org/doc/248233},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Duan, Yanzheng
AU - Chen, Shutao
TI - A note on Schroeder-Bernstein Property and Primary Property of Orlicz function spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 1
SP - 55
EP - 57
AB - It is shown in the note that every reflexive Orlicz function space has the Schroeder-Bernstein Property and the Primary Property.
LA - eng
KW - Orlicz function spaces; Schroeder-Bernstein Property; Primary Property; Orlicz function space; complemented subspace; reflexivity
UR - http://eudml.org/doc/248233
ER -

References

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  1. Casazza P.G., The Schroeder-Bernstein Property for Banach spaces, Contemporary Mathematics 85 (1989), 61-77. (1989) Zbl0684.46020MR0983381
  2. Shutao Chen, Geometry of Orlicz spaces, Dissert. Math. 356 (1996), 1-204. (1996) MR1410390
  3. Lindenstrauss J., Tzafriri L., Classical Banach Spaces II. Function Spaces, Springer-Verlag, Berlin, 1979. Zbl0403.46022MR0540367
  4. Congxin Wu, Tingfu Wang, Orlicz Spaces and Their Applications (in Chinese), Heilongjiang Science and Technology Publishing House, Harbin, 1983. 

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