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

Operators on function spaces of form Cɸf = f ∘ ɸ, where ɸ is a fixed map are called composition operators with symbol ɸ. 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...

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Bibliographic Details
Main Author: Matache Valentin
Format: Article
Language:English
Published: De Gruyter 2016-05-01
Series:Concrete Operators
Subjects:
Online Access:http://www.degruyter.com/view/j/conop.2016.3.issue-1/conop-2016-0009/conop-2016-0009.xml?format=INT