Spectral permanence for the Moore-Penrose inverse (Q2845749)
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scientific article; zbMATH DE number 6203925
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral permanence for the Moore-Penrose inverse |
scientific article; zbMATH DE number 6203925 |
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Spectral permanence for the Moore-Penrose inverse (English)
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3 September 2013
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Drazin inverse
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Moore-Penrose inverse
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Fredholm theory
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\(C^*\)-algebra
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relatively regular element
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The authors study properties of normed algebras. They show that, if \(A=B(X)\) for a Banach space \(X\), then all relatively regular elements of \(A\) have closed range. They also show that, for Banach algebra homomorphisms, the spectral permanence always implies Drazin permanence but does not have to imply generalized permanence, and that an isometric \(C^*\)-homomorphism has Drazin permanence.
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