Iterated Aluthge transforms of composition operators on H2
- 주제(키워드) Aluthge transform , Composition operator , iterated Aluthge transform , weighted composition operator
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 World Scientific Publishing Co. Pte Ltd
- 발행년도 2015
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000119612
- 본문언어 영어
- Published As http://dx.doi.org/10.1142/S0129167X15500792
초록/요약
In this paper, we study various properties of the iterated Aluthge transforms of the composition operators Cψ and Cσ where ψ(z) = az + (1-a) and σ(z) + az (1-a)z+1 for 0 < a < 1. We express the iterated Aluthge transforms e C(n) . and C∼ψ(n) as weighted composition operators with linear fractional symbols. As a corollary, we prove that C∼ψ(n) . and C∼ψ(n) are not quasinormal but binormal. In addition, we show that C∼ψ(n) . and e C(m) . are quasisimilar for all non-negative integers n and m. Finally, we show that C∼ψ(n) and C∼ψ(n) converge to normal operators in the strong operator topology. © 2015 World Scientific Publishing Company.
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