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Hermitian weighted composition operators on H2

Title
Hermitian weighted composition operators on H2
Authors
Cowen C.C.Ko E.
Ewha Authors
고응일
SCOPUS Author ID
고응일scopus
Issue Date
2010
Journal Title
Transactions of the American Mathematical Society
ISSN
0002-9947JCR Link
Citation
vol. 362, no. 11, pp. 5771 - 5801
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
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 H2 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 H2. © 2010 American Mathematical Society.
DOI
10.1090/S0002-9947-2010-05043-3
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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