English

Embedding of some classes of operators into strongly continuous semigroups

Functional Analysis 2025-02-19 v1

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.

Keywords

Cite

@article{arxiv.2410.20195,
  title  = {Embedding of some classes of operators into strongly continuous semigroups},
  author = {Isabelle Chalendar and Romain Lebreton},
  journal= {arXiv preprint arXiv:2410.20195},
  year   = {2025}
}
R2 v1 2026-06-28T19:36:41.294Z