Antieigenvalues and total antieigenvalues of normal operators (Q1856851)
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scientific article; zbMATH DE number 1866625
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Antieigenvalues and total antieigenvalues of normal operators |
scientific article; zbMATH DE number 1866625 |
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Antieigenvalues and total antieigenvalues of normal operators (English)
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11 February 2003
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Given an operator \(T\) on a Banach space \(X\), the first antieigenvalue of \(T\) is \[ \mu_1(T)= \inf_{Tf\neq 0} {\text{Re} (Tf,f)\over\|Tf \|\|f\|} \] where \((f,g)\) is a semi-inner product on \(X\). This paper generalizes earlier work on antieigenvalues and total antieigenvalues of normal operators.
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normal operator
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Banach space
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first antieigenvalue
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semi-inner product
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