Invertible and normal composition operators on the Hilbert Hardy space of a half–plane

Authors

Valentin Matache, University of Nebraska at OmahaFollow

Document Type

Article

Publication Date

2016

Publication Title

Concrete Operators

Volume

3

First Page

77

Last Page

84

Abstract

Operators on function spaces of form... is a fixed map are called composition operators with symbol φ. We study such operators acting on the Hilbert Hardy space over the right half-plane and characterize the situations when they are invertible, Fredholm, unitary, and Hermitian. We determine the normal composition operators with inner, respectively with Möbius symbol. In select cases, we calculate their spectra, essential spectra, and numerical ranges.

Comments

© 2016 Matache, published by De Gruyter Open. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License https://creativecommons.org/licenses/by/3.0/us/.

Recommended Citation

Matache, Valentin, "Invertible and normal composition operators on the Hilbert Hardy space of a half–plane" (2016). Mathematics Faculty Publications. 33.
https://digitalcommons.unomaha.edu/mathfacpub/33