Convex domains and K-spectral sets

Catalin Badea; Michel Crouzeix; Bernard Delyon

Convex domains and K-spectral sets

Functional Analysis 2018-06-05 v2 Operator Algebras

Authors: Catalin Badea , Michel Crouzeix , Bernard Delyon

Abstract

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.

Keywords

numerical range operator theory on hilbert spaces pseudoconvex domains

Cite

@article{arxiv.math/0501184,
  title  = {Convex domains and K-spectral sets},
  author = {Catalin Badea and Michel Crouzeix and Bernard Delyon},
  journal= {arXiv preprint arXiv:math/0501184},
  year   = {2018}
}

Comments

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

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