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Best aproximation ni L1

 

作者: Roshdi Khalil,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1987）
卷期: Volume 9, issue 9-10  

页码: 1031-1037

 

ISSN:0163-0563

 

年代: 1987

 

DOI:10.1080/01630568708816272

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

Let (Ω,F,m) be a finite measure space and β be a sub-o-algebra of F. It x is a Banach space, we let L1ΩF,X, L1β,X denote the space of F-measurable (β-measurable) Bochner integrable functions with respect to. It is proved that if x is reflexive and Ω,β,m is separable, than L1,Ω,β,x is proximinal in L1,F,X.

 

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