Isometric weighted composition operators

Valentin Matache

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


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
StatePublished - Aug 6 2014


  • Isometry
  • Numerical range
  • Weighted composition operator

ASJC Scopus subject areas

  • Mathematics(all)


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