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A minimizing property that characterizes Lp-spaces

 

作者: Héctor Cuenya,   Miguel Marano,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1998）
卷期: Volume 19, issue 3-4  

页码: 273-283

 

ISSN:0163-0563

 

年代: 1998

 

DOI:10.1080/01630569808816828

 

出版商: Marcel Dekker, Inc.

 

关键词: 1991 Mathematics Subject Classification. Primary 41A65;1991 Mathematics Subject Classification Secondary 46E30;Best constant approximant;Orlicz spaces;Orlicz and Luxemburg norms;Lp-spaces

 

数据来源: Taylor

 

摘要:

It is shown that an approximative property with respect to Orlicz or Luxemburg norms in Orlicz spaces, useful for computing best approximants from some class of functions, is generally satisfied only for the Lp-norms, whenever the measure space contains at least four pairwise disjoint sets of finite and positive measure.

 

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