Isometric weighted composition operators

Research output: Contribution to journalArticle

4 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)711-726
Number of pages16
JournalNew York Journal of Mathematics
Volume20
StatePublished - Aug 6 2014

Fingerprint

Weighted Composition Operator
Composition Operator
Isometric
Wold Decomposition
Multiplication Operator
Numerical Range
Hardy Space
Unit Disk
Hilbert
Operator

Keywords

  • Isometry
  • Numerical range
  • Weighted composition operator

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Isometric weighted composition operators. / Matache, Valentin.

In: New York Journal of Mathematics, Vol. 20, 06.08.2014, p. 711-726.

Research output: Contribution to journalArticle

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