Embedding of some classes of operators into strongly continuous semigroups

被引：0

作者：

Chalendar, Isabelle ^{[1
]}

Lebreton, Romain ^{[2
]}

机构：

[1] Univ Gustave Eiffel, LAMA UMR 8050, UPEM, UPEC,CNRS, F-77454 Marne La Vallee, France

[2] Univ Lille, Lab Paul Painleve, F-59655 Villeneuve Dascq, France

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2025年 / 68卷 / 01期

关键词：

Semigroup; embedding; isometry; composition operator; Toeplitz operator;

D O I：

10.4153/S0008439524000560

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 H2. In particular, we focus on the isometric ones using the necessary and sufficient condition observed by T. Eisner. © The Author(s), 2025.

引用

页码：219 / 231

页数：13

共 17 条

[1] POWERS OF COMPOSITION OPERATORS: ASYMPTOTIC BEHAVIOUR ON BERGMAN, DIRICHLET AND BLOCH SPACES [J].

Arendt, W. ;

Chalendar, I ;

Kumar, M. ;

Srivastava, S. .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020, 108 (03) :289-320

[2]

Arendt W., 2001, MONOGRAPHS MATH, V96

[3] Similarity to an isometry of a composition operator [J].

Bayart, F .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (06) :1789-1791

[4]

Bracci F, 2020, SPRINGER MONOGR MATH, P1, DOI 10.1007/978-3-030-36782-4

[5] Infinitesimal generators associated with semigroups of linear fractional maps [J].

Bracci, Filippo ;

Contreras, Manuel D. ;

Diaz-Madrigal, Santiago .

JOURNAL D ANALYSE MATHEMATIQUE, 2007, 102 (1) :119-142

[6]

Celaries B., 2017, ULMER SEMINARE 2016, V20

[7] WEIGHTED COMPOSITION OPERATORS: ISOMETRIES AND ASYMPTOTIC BEHAVIOUR [J].

Chalendar, Isabelle ;

Partington, Jonathan R. .

JOURNAL OF OPERATOR THEORY, 2021, 86 (01) :189-201

[8]

Eisner T, 2010, OPER THEORY ADV APPL, V209, P1

[9] Embedding operators into strongly continuous semigroups [J].

Eisner, Tanja .

ARCHIV DER MATHEMATIK, 2009, 92 (05) :451-460

[10]

Engel K.-J., 2006, A Short Course on Operator Semigroups

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