Norm attaining operators and pseudospectrum
| Data(s) |
01/05/2009
|
|---|---|
| Resumo |
It is shown that if $11$, the operator $I+T$ attains its norm. A reflexive Banach space $X$ and a bounded rank one operator $T$ on $X$ are constructed such that $\|I+T\|>1$ and $I+T$ does not attain its norm. |
| Identificador | |
| Idioma(s) |
eng |
| Direitos |
info:eu-repo/semantics/restrictedAccess |
| Fonte |
Shkarin , S 2009 , ' Norm attaining operators and pseudospectrum ' Integral Equations and Operator Theory , vol 64 , no. 1 , pp. 115-136 . |
| Palavras-Chave | #/dk/atira/pure/subjectarea/asjc/2600/2602 #Algebra and Number Theory #/dk/atira/pure/subjectarea/asjc/2600/2603 #Analysis |
| Tipo |
article |
