Polaroid type operators under quasi-affinities (Q2906287)
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scientific article; zbMATH DE number 6077328
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Polaroid type operators under quasi-affinities |
scientific article; zbMATH DE number 6077328 |
Statements
5 September 2012
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polaroid operators
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Weyl type theorem
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quasi-affinity
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Polaroid type operators under quasi-affinities (English)
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Let \(X,Y\) be Banach spaces. An operator \(T\in L(X)\) is called a quasi-affine transform of \(S\in L(Y)\) if there exists \(A\in L(X,Y)\) with a trivial kernel and dense image such that \(SA=AT\). The authors study the preservation of some polaroid type conditions under quasi-affinities. As a consequence, they derive several results concerning the preservation of Weyl type theorems under quasi-affinities.
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