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arXiv · 2410.20195

Embedding of some classes of operators into strongly continuous semigroups

Isabelle Chalendar·Romain Lebreton
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Abstract

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.

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Isabelle Chalendar, Romain Lebreton. 2024-10-26. Embedding of some classes of operators into strongly continuous semigroups. https://doi.org/10.4153/s0008439524000560

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