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Title: On the WM property of Orlicz sequence spaces endowed with the Orlicz norm (English)
Author: Baoxiang, Wang
Author: Tingfu, Wang
Author: Cuixia, Hao
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 38
Issue: 1
Year: 1997
Pages: 1-13
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Category: math
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Summary: We obtain the criterion of the WM property for Orlicz sequence spaces endowed with the Orlicz norm. (English)
Keyword: Orlicz space
Keyword: Orlicz norm
Keyword: WM property
MSC: 46B20
MSC: 46B30
MSC: 46B45
MSC: 46E30
idZBL: Zbl 0886.46024
idMR: MR1455466
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Date available: 2009-01-08T18:28:47Z
Last updated: 2012-04-30
Stable URL: http://hdl.handle.net/10338.dmlcz/118898
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Reference: [1] Panda B.B., Kapoor O.P.: A generalization of locally uniform convexity of the norm.J. Math. Anal. Appl. 52 (1975), 300-308. MR 0380365
Reference: [2] Shutao Chen, Yanzheng Duan: WM property of Orlicz spaces.Northeast. Math. J. 8.4 (1992), 498-502. MR 1210204
Reference: [3] Shutao Chen, Yanming Lu, Baoxiang Wang: WM property, LKR and CLUR of Orlicz sequence spaces.Fasciculi Math. 22 (1991), 19-25. MR 1175959
Reference: [4] Yanzheng Duan: Several structural problems of Orlicz spaces.Doctoral thesis, Harbin Institute of Technology, 1990.
Reference: [5] Wu C.X., Wang T.F., Chen S.T., Wang Y.W.: Geometry of Orlicz spaces.Harbin, 1987.
Reference: [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. Zbl 0804.46035, MR 1270637
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