The norm distance between two composition operators is calculated in select
cases

Matache, Valentin

Extracta Mathematicae

English

arXiv

Composition operators 'ᵩ induced by a selfmap  of some set  are operators acting on a space consisting of functions on  by composition to the right with , that is ᵩ =  ο . In this paper, we consider the Hilbert Hardy space ² on the open unit disk and find exact formulas for distances ‖ ᵩ — ‖ between composition operators. The selfmaps  and  involved in those formulas are constant, inner, or analytic selfmaps of the unit disk fixing the origin.peerReviewe

Dehesa. Repositorio Institucional de la Universidad de Extremadura

Distances between composition operators

Composition operators Cϕ induced by a selfmap ϕ of some set S are operators acting on a space consisting of functions on S by composition to the right with ϕ, that is Cϕf = f ◦ ϕ. In this paper, we consider the Hilbert Hardy space H2 on the open unit disk and find exact formulas for distances kCϕ − Cψk between composition operators. The selfmaps ϕ and ψ involved in those formulas are constant, inner, or analytic selfmaps of the unit disk fixing the origin

The University of Nebraska, Omaha

Distances Between Composition Operators

https://digitalcommons.unomaha.edu/cgi/viewcontent.cgi?article=1033&context=mathfacpub

Distances between composition operators

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Dehesa. Repositorio Institucional de la Universidad de Extremadura

The University of Nebraska, Omaha