Document Type

Article

Publication Date

2007

Publication Title

Extracta Mathematicae

Volume

22

Issue

1

First Page

19

Last Page

33

Abstract

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.

Comments

© 2007 Extracta Mathematicae. This article is licensed under a Creative Commons License Attribution-Non Commercial 3.0 Unported (https://creativecommons.org/licenses/by-nc/3.0/us/).

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