Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626475 | Applied Mathematics and Computation | 2015 | 12 Pages |
Abstract
For an analytic function φ:D→D,φ:D→D, the composition operator Cφ is the operator on the Hardy space H2 defined by Cφf = f ○ φ for all f in H2. In this paper, we give necessary and sufficient conditions for the composition operator Cφ to be binormal where the symbol φ is a linear fractional selfmap of DD. Furthermore, we show that Cφ is binormal if and only if it is centered when φ is an automorphism of DD or φ(z) = sz + t, |s| + |t| ≤ 1. We also characterize several properties of binormal composition operators with linear fractional symbols on H2.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Sungeun Jung, Yoenha Kim, Eungil Ko,