Characterizations of binormal composition operators with linear fractional symbols on H2
- 주제(키워드) Binormal , Centered , Composition operator
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Elsevier Inc.
- 발행년도 2015
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000115380
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.amc.2015.03.096
초록/요약
For an analytic function φ:D→D, the composition operator C<inf>φ</inf> is the operator on the Hardy space H2 defined by C<inf>φ</inf>f = f φ for all f in H2. In this paper, we give necessary and sufficient conditions for the composition operator C<inf>φ</inf> to be binormal where the symbol φ is a linear fractional selfmap of D. Furthermore, we show that C<inf>φ</inf> is binormal if and only if it is centered when φ is an automorphism of D or φ(z) = sz + t
more초록/요약
≤ 1. We also characterize several properties of binormal composition operators with linear fractional symbols on H2. © 2015 Elsevier Inc. All rights reserved.
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