On extended commuting operators

Sungeun Jung, Hyoungji Kim, Eungil Ko

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we study properties of extended commuting operators. In particular, we provide the polar decomposition of the product of (λ, µ)-commuting operators where λ and µ are real numbers with λµ > 0. Furthermore, we find the restriction of µ for the product of (λ, µ)-commuting quasihyponormal operators to be quasihyponormal. We also give spectral and local spectral relations between λ-commuting operators. Moreover, we show that the operators λ-commuting with a unilateral shift are representable as weighted composition operators.

Original languageEnglish
Pages (from-to)883-893
Number of pages11
JournalFilomat
Volume35
Issue number3
DOIs
StatePublished - 2021

Keywords

  • (λ,µ)-commuting operators
  • Polar decomposition
  • Quasihyponormal operators
  • λ-commuting operators

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