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On the proximinality of compact operators over spaces of measurable functions

 

作者: Aref Kamal,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1992）
卷期: Volume 13, issue 5-6  

页码: 585-590

 

ISSN:0163-0563

 

年代: 1992

 

DOI:10.1080/01630569208816500

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

The main results in this paper are, the characterization of all the σfinite positive measures μ andv, for whichK(L1(μ, L1(v)) proximinal inK(L1(μ, L1(v))all the a-finite positive measures fi andv, for whichK(L∞(μ), L∞(v))is proximinal inL(L∞μ)), Lv(v))and all the compact Hausdorff spaces Q, for whichK(C(Q), L∞(μ)) is proximinal inL(C(Q), :∞(μ))

 

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