Adjoints of composition operators on Hilbert spaces of analytic functions

被引：22

作者：

Martin, Maria J. ^{[1
]}

Vukotic, Dragan ^{[1
]}

机构：

[1] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2006年 / 238卷 / 01期

关键词：

composition operator; adjoint; Hilbert spaces; Hardy space; weighted Bergman space; Dirichlet space;

D O I：

10.1016/j.jfa.2006.04.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We observe that a formula for the adjoint of a composition operator, known only for special symbols in some spaces of analytic functions, actually holds for every admissible symbol and in any Hilbert space of analytic functions with reproducing kernels. Along with some new results, all known formulas for the adjoint obtained so far follow easily as a consequence, some in an improved form. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：298 / 312

页数：15

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