HERMITIAN WEIGHTED COMPOSITION OPERATORS ON H2

被引：51
作者：
Cowen, Carl C. [1 ]
Ko, Eungil [2 ]
机构：
[1] Purdue Univ, Indiana Univ, Dept Math Sci, Indianapolis, IN 46202 USA
[2] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 362卷 / 11期
关键词：
Weighted composition operator; composition operator; Hermitian operator; operator semigroup; spectral theory; Aluthge transform; ANALYTIC TOEPLITZ OPERATOR; COMPOSITION SEMIGROUPS; HP;
D O I：
10.1090/S0002-9947-2010-05043-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Weighted composition operators have been related to products of composition operators and their adjoints and to isometries of Hardy spaces. In this paper, we identify the Hermitian weighted composition operators on H-2 and compute their spectral measures. Some relevant semigroups are studied. The resulting ideas can be used to find the polar decomposition, the absolute value, and the Aluthge transform of some composition operators on H-2.
引用
收藏
页码：5771 / 5801
页数：31
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