HERMITIAN WEIGHTED COMPOSITION OPERATORS ON H-2

作者：Cowen Carl C^*; Ko Eungil

来源：Transactions of the American Mathematical Society, 2010, 362(11): 5771-5801.

DOI：10.1090/S0002-9947-2010-05043-3

• Weighted composition operator
• composition operator
• Hermitian operator
• operator semigroup
• spectral theory
• Aluthge transform

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.

• 出版日期2010-11