Self-commutators of invertible weighted composition operators on
- 주제(키워드) self-commutator , Toeplitz operator , weighted composition operator
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Taylor and Francis Group, LLC.
- 발행년도 2013
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000096606
- 본문언어 영어
- Published As http://dx.doi.org/10.1080/17476933.2013.778837
초록/요약
In this paper, we consider the self-commutator of an invertible weighted composition operator on the Hardy space where is continuous on. We show that both the self-commutator and the anti-self-commutator are expressed as compact perturbations of Toeplitz operators. Moreover, we give an alternative proof for the result in [2] that is unitary exactly when is an automorphism of and where, is the reproducing kernel at for, and is a constant with. We next show that when for all, the weighted composition operator is normal if and only if the composition operator is unitary and is constant on. We also provide some spectral properties of and.
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