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Article

Duan, Yanzheng ; Chen, Shutao
A note on Schroeder-Bernstein Property and Primary Property of Orlicz function spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 1, pp. 55-57
MSC: 46A25, 46B20, 46E30 | MR 1622328 | Zbl 0937.46010
Keywords:
Orlicz function spaces; Schroeder-Bernstein Property; Primary Property
Summary:
It is shown in the note that every reflexive Orlicz function space has the Schroeder-Bernstein Property and the Primary Property.
References:
[1] Casazza P.G.: The Schroeder-Bernstein Property for Banach spaces. Contemporary Mathematics 85 (1989), 61-77. MR 0983381 | Zbl 0684.46020
[2] Shutao Chen: Geometry of Orlicz spaces. Dissert. Math. 356 (1996), 1-204. MR 1410390
[3] Lindenstrauss J., Tzafriri L.: Classical Banach Spaces II. Function Spaces. Springer-Verlag, Berlin, 1979. MR 0540367 | Zbl 0403.46022
[4] Congxin Wu, Tingfu Wang: Orlicz Spaces and Their Applications (in Chinese). Heilongjiang Science and Technology Publishing House, Harbin, 1983.
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