Hermitian weighted composition operators on H2

Carl C. Cowen, Eungil Ko

Research output: Contribution to journalArticlepeer-review

49 Scopus citations

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.

Original languageEnglish
Pages (from-to)5771-5801
Number of pages31
JournalTransactions of the American Mathematical Society
Volume362
Issue number11
DOIs
StatePublished - Nov 2010

Keywords

  • Aluthge transform
  • Composition operator
  • Hermitian operator
  • Operator semigroup
  • Spectral theory
  • Weighted composition operator

Fingerprint

Dive into the research topics of 'Hermitian weighted composition operators on H2'. Together they form a unique fingerprint.

Cite this