赋Luxemburg范数的Noncreasy Orlicz-Bochner函数空间

Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (2): 416-422.

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Noncreasy Orlicz-Bochner Function Spaces with Luxemburg Norm

DONG Ge, WEI Wen-Zhan

(Department of Mathematics, Shanghai Jianqiao College, Shanghai 201319)|(Department of Mathematics, Guangxi Education University, Guangxi Nanning 530001)

Received:2007-11-18 Revised:2008-12-02 Online:2009-04-25 Published:2009-04-25
Supported by:
广西自然科学基金(桂科自0728050)和上海高校选拔培养优秀青年教师科研专项基金(AAYQ0911)资助

In this paper, the authors discuss the conditions for Orlicz-Bochner function spaces with Luxemburg norm to be noncreasy(NC) and obtain that, if X is a reflexive Banach space, then the Orlicz-Bochner spaces L_(Φ)(X) is NC if and only if L_(Φ)(X)is rotund or L_(Φ)(X) is smooth.

Key words: Orlicz-Bochner spaces, Noncreasy, Luxemburg norm

CLC Number:

46B20

Cite this article

DONG Ge, WEI Wen-Zhan. Noncreasy Orlicz-Bochner Function Spaces with Luxemburg Norm[J].Acta mathematica scientia,Series A, 2009, 29(2): 416-422.

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Noncreasy Orlicz-Bochner Function Spaces with Luxemburg Norm

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