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Quasi-sectorial contractions |
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| Authors: | Valentin A. Zagrebnov |
| Affiliation: | a Université de la Méditerranée (Aix-Marseille II), France b Centre de Physique Théorique - UMR 6207, Luminy-Case 907, 13288 Marseille Cedex 9, France |
| Abstract: | We revise the notion of the quasi-sectorial contractions. Our main theorem establishes a relation between semigroups of quasi-sectorial contractions and a class of m-sectorial generators. We discuss a relevance of this kind of contractions to the theory of operator-norm approximations of strongly continuous semigroups. |
| Keywords: | Operator numerical range m-Sectorial generators Contraction semigroups Quasi-sectorial contractions Holomorphic semigroups Semigroup operator-norm approximations |
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