Author ORCID Identifier

Valentin Matache

Document Type

Article

Publication Date

8-6-2014

Publication Title

New York Journal of Mathematics

Volume

20

First Page

711

Last Page

726

Abstract

A composition operator is an operator on a space of functions defined on the same set. Its action is by composition to the right with a fixed selfmap of that set. A composition operator followed by a multiplication operator is called a weighted composition operator. In this paper, we study when weighted composition operators on the Hilbert Hardy space of the open unit disc are isometric. We find their Wold decomposition in select cases and apply it to the computation of numerical ranges.

Comments

This article was originally published in the New York Journal of Mathematics here: http://nyjm.albany.edu/j/2014/20-35.html. Please visit the journal's homepage here: http://nyjm.albany.edu/nyjm.html.

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