Spectra of some weighted composition operators on H2
- 주제(키워드) Hyponormal operator , Spectrum of an operator , Weighted composition operator
- 관리정보기술 faculty
- 등재 SCOPUS
- 발행기관 University of Szeged
- 발행년도 2016
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000135422
- 본문언어 영어
- Published As http://dx.doi.org/10.14232/actasm-014-542-y
초록/요약
We completely characterize the spectrum of a weighted composition operator W Ψ,ℓ on H2(D) when ℓ has Denjoy-Wolff point a with 0 <ℓ'′(α) < 1, the iterates, ℓn, converge uniformly to a, and is in H∞ (the space of bounded analytic functions on D) and continuous at a. We also give bounds and some computations when α = 1 and ℓ'′(α) = 1 and, in addition, show that these symbols include all linear fractional ℓ that are hyperbolic and parabolic nonautomorphisms. Finally, we use these results to eliminate possible weights Ψ so that W Ψ,ℓ is seminormal.
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