Quasi-Sectorial Contractions

2007/11/03 by Valentin A. Zagrebnov, Zagrebnov, V. A.
Economics, Econometrics and Finance · Social Sciences · #47B99 #47D03 #47D06 #47D60 #FOS: Mathematics #Functional Analysis (math.FA) #General Mathematics (math.GM) #Housing, Finance, and Neoliberalism #Law, Economics, and Judicial Systems #Political Economy and Marxism

paper · pdf · doi:10.48550/arxiv.0711.0478

openalex publication_date 2007/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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