Embedding of some classes of operators into strongly continuous semigroups
Canadian mathematical bulletin, Tome 68 (2025) no. 1, pp. 219-231
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In this paper, we study the embedding problem of an operator into a strongly continous 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.
Mots-clés :
Semigroup, embedding, isometry, composition operator, Toeplitz operator
Chalendar, Isabelle; Lebreton, Romain. Embedding of some classes of operators into strongly continuous semigroups. Canadian mathematical bulletin, Tome 68 (2025) no. 1, pp. 219-231. doi: 10.4153/S0008439524000560
@article{10_4153_S0008439524000560,
author = {Chalendar, Isabelle and Lebreton, Romain},
title = {Embedding of some classes of operators into strongly continuous semigroups},
journal = {Canadian mathematical bulletin},
pages = {219--231},
year = {2025},
volume = {68},
number = {1},
doi = {10.4153/S0008439524000560},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000560/}
}
TY - JOUR AU - Chalendar, Isabelle AU - Lebreton, Romain TI - Embedding of some classes of operators into strongly continuous semigroups JO - Canadian mathematical bulletin PY - 2025 SP - 219 EP - 231 VL - 68 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000560/ DO - 10.4153/S0008439524000560 ID - 10_4153_S0008439524000560 ER -
%0 Journal Article %A Chalendar, Isabelle %A Lebreton, Romain %T Embedding of some classes of operators into strongly continuous semigroups %J Canadian mathematical bulletin %D 2025 %P 219-231 %V 68 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000560/ %R 10.4153/S0008439524000560 %F 10_4153_S0008439524000560
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