Convex domains and K-spectral sets

Details Convex domains and K-spectral sets Convex domains and K-spectral sets

2005-01-12

arxiv.org/abs/math/0501184v2

Mathematics

Functional Analysis

the introduction was changed and some remarks have been added. 26 pages ; to appear in Math. Z

Scientific paper

Let $\Omega$ be an open convex domain of the complex plane. We study
constants K such that $\Omega$ is K-spectral or complete K-spectral for each
continuous linear Hilbert space operator with numerical range included in
$\Omega$. Several approaches are discussed.

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