Holomorphic C-semigroups and holomorphic semigroups
type: Item
instance of: scholarly article
title: Holomorphic C-semigroups and holomorphic semigroups
zbMATH Open document ID: 0651.47028
DOI: 10.1007/BF02573235
author: Naoki Tanaka
published in: Semigroup Forum
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134958
review text: This paper is concerned with holomorphic C-semigroups. The main purpose is to give a characterization of the C-complete infinitesimal generator of a holomorphic C-semigroup, which coincides with that of a holomorphic \((C_ 0)\)-semigroup in the case of \(C=I\). We also clarify the relationship between holomorphic C-semigroups and holomorphic semigroups of growth order \(\alpha\). Applying the theory for holomorphic C- semigroups, we deduce a characterization of the complete infinitesimal generator of a holomorphic semigroup of growth order \(\alpha\).
Mathematics Subject Classification ID: 47D03
zbMATH DE Number: 4061986
zbMATH Keywords: C-complete infinitesimal generator of a holomorphic C-semigroup
reviewed by: Nelson I. Tanaka
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4061986