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1 CPT - Centre de Physique Théorique - UMR 6207 2 CPT - Centre de Physique Théorique - UMR 7332

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 : Contraction semigroups m-Sectorial generators Operator numerical range Quasi-sectorial contractions Holomorphic semigroups Semigroup operator-norm approximations

Author: Valentin Zagrebnov -

Source: https://hal.archives-ouvertes.fr/


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