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Antieigenvalues and total antieigenvalues of normal operators. (English) Zbl 1020.47020

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.

MSC:

47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.)
47A12 Numerical range, numerical radius
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References:

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