Embedding of some classes of operators into strongly continuous semigroups

Fuente: arXiv
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Autores principales: Chalendar, Isabelle, Lebreton, Romain
Formato: Preprint
Publicado: 2024
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author Chalendar, Isabelle
Lebreton, Romain
author_facet Chalendar, Isabelle
Lebreton, Romain
contents In this paper we study the embedding problem of an operator into a strongly continuous semigroup. We obtain characterizations for some classes of operators, namely composition operators and analytic Toeplitz operators on the Hardy space H^2. In particular, we focus on the isometric ones using the necessary and sufficient condition observed by T. Eisner.
format Preprint
id arxiv_https___arxiv_org_abs_2410_20195
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Embedding of some classes of operators into strongly continuous semigroups
Chalendar, Isabelle
Lebreton, Romain
Functional Analysis
In this paper we study the embedding problem of an operator into a strongly continuous semigroup. We obtain characterizations for some classes of operators, namely composition operators and analytic Toeplitz operators on the Hardy space H^2. In particular, we focus on the isometric ones using the necessary and sufficient condition observed by T. Eisner.
title Embedding of some classes of operators into strongly continuous semigroups
topic Functional Analysis
url https://arxiv.org/abs/2410.20195