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UBIQUITOUS PROPERTIES OF CERTAIN OPERATIONAL QUANTITIES OF LINEAR RELATIONS IN NORMED SPACES

 

作者: R.W. Cross,   P. Pillay,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1994）
卷期: Volume 17, issue 4  

页码: 487-498

 

ISSN:1607-3606

 

年代: 1994

 

DOI:10.1080/16073606.1994.9631780

 

出版商: Taylor & Francis Group

 

关键词: 47A05

 

数据来源: Taylor

 

摘要:

LetXandYbe normed spaces andTa linear relation inXxY.Certain known operational quantities of linear operators are extended to linear relations. Properties ofTsuch as precompactness, strict singularity, upper semi-Fredholmness and partial continuity are defined and characterised in terms of the given quantities, and certain uniform boundedness properties of these quantities derived.

 

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