Adjoints of rationally induced composition operators

被引：15

作者：

Bourdon, Paul S. ^{[2
]}

Shapiro, Joel H. ^{[1
]}

机构：

[1] Portland State Univ, Dept Math & Stat, Portland, OR 97207 USA

[2] Washington & Lee Univ, Dept Math, Lexington, VA 24450 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2008年 / 255卷 / 08期

关键词：

Composition operator; Adjoint; Rational function;

D O I：

10.1016/j.jfa.2008.07.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an elementary proof of a formula recently obtained by Hammond, Moorhouse, and Robbins for the adjoint of a rationally induced composition operator on the Hardy space H-2 [Christopher Hammond, Jennifer Moorhouse, Marian E. Robbins, Adjoints of composition operators with rational symbol. J. Math. Anal. Appl. 341 (2008) 626-639]. We discuss some variants and implications of this formula, and use it to provide a sufficient condition for a rationally induced composition operator adjoint to be a compact perturbation of a weighted composition operator. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：1995 / 2012

页数：18

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