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arXiv · 1803.06552

Generators of semigroups on Banach spaces inducing holomorphic semiflows

W. Arendt·I. Chalendar
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Abstract

Let $A$ be the generator of a $C_0$-semigroup $T$ on a Banach space of analytic functions on the open unit disc. If $T$ consists of composition operators, then there exists a holomorphic function $G:{\mathbb D}\to{\mathbb C}$ such that $Af=Gf'$ with maximal domain. The aim of the paper is the study of the reciprocal implication.

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W. Arendt, I. Chalendar. 2018-03-17. Generators of semigroups on Banach spaces inducing holomorphic semiflows. https://arxiv.org/abs/1803.06552

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