首页   按字顺浏览 期刊浏览 卷期浏览 Compact, convex sets inRnand a new banach lattice. I.- Theory.
Compact, convex sets inRnand a new banach lattice. I.- Theory.

 

作者: Beatriz Margolis,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1990）
卷期: Volume 11, issue 5-6  

页码: 555-576

 

ISSN:0163-0563

 

年代: 1990

 

DOI:10.1080/01630569008816388

 

出版商: Marcel Dekker, Inc.

 

关键词: AMS 1980 Subjet Classification: Primary: 46 B 30;AMS 1980 Subjet Classification: Secondary: 52 A 07;AMS 1980 Subjet Classification: Secondary: 47 B 55;Banach lattice;Sublinear functions;Dedekind completion;subgradient

 

数据来源: Taylor

 

摘要:

The present paper shows that compact, non-empty convex sets inRnform a wedge in a well-defined Banach lattice, which turns out to be isometrically Riesz-isomorphic to the continuous functions inSn–1, the unit sphere ofRn. Among other results, we obtain Dini-like convergence results for sets, linking order- and norm-convergence.

 

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