Numerical Range and Quasi-Sectorial Contractions

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dc.creatorArlinskii, Yury
dc.creatorZagrebnov, Valentin
dc.date2008-10-17
dc.date.accessioned2026-07-07T10:10:56Z
dc.date.available2026-07-07T10:10:56Z
dc.descriptionWe apply a method developed by one of the authors, see \cite{Arl1}, to localize the numerical range of \textit{quasi-sectorial} contractions semigroups. Our main theorem establishes a relation between the numerical range of quasi-sectorial contraction semigroups $\{\exp(- t S)\}_{t\ge 0}$, and the maximal {sectorial} generators $S$. We also give a new prove of the rate $O(1/n)$ for the operator-norm Euler formula approximation: $\exp(- t S)=\lim\limits_{n\to \infty}(I+tS/n)^{-n}$, $t\ge 0$, for this class of semigroups.
dc.identifierhttps://arxiv.org/abs/0810.3072
dc.identifierhttp://arxiv.org/abs/0810.3072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171736
dc.subjectFunctional Analysis
dc.subject47A55, 47D03, 81Q10
dc.titleNumerical Range and Quasi-Sectorial Contractions
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