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Operator Ideals Generalizing the Ideal of Strictly Singular Operators

 

作者: Irmtraud Stephani,  

 

期刊: Mathematische Nachrichten  （WILEY Available online 1980）
卷期: Volume 94, issue 1  

页码: 29-41

 

ISSN:0025-584X

 

年代: 1980

 

DOI:10.1002/mana.19800940103

 

出版商: WILEY‐VCH Verlag

 

数据来源: WILEY

 

摘要:

AbstractIt is well‐known that an operatorT∈ L(E, F) is strictly singular if ∥Tx∥≧λ∥x∥ on a subspaceZ⊂Eimplies dimZ<+ ∞. The present paper deals with ideals of operators defined by a condition — ∥Tx∥≧λ∥x∥ on an infinite‐dimensional subspaceZ⊂EimpliesZ∉ F — F being a

 

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