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AN EXTREME POINT WHICH IS ORTHOGONAL TO THE RANGE OF THE OPERATOR, CONJUGATED TO AN OPERATOR ONl1

 

作者: A.M. Plichko,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1996）
卷期: Volume 19, issue 1-2  

页码: 19-21

 

ISSN:1607-3606

 

年代: 1996

 

DOI:10.1080/16073606.1996.9631823

 

出版商: Taylor & Francis Group

 

关键词: 47A05;43A46

 

数据来源: Taylor

 

摘要:

In this note we prove that if a linear bounded operatorTfroml1to a Banach spaceYis not an isomorphism, then there exists an elementf= (f1,f2,…) εl∞such that |fn| = 1 for everynand dist (f, T*Y*) = 1. This result we apply to Sidon sets in the theory of Fourier series.

 

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