Paranormal operators and some operator equations

Il Ju An, Eungil Ko

Research output: Contribution to journalArticlepeer-review


Let a pair (A; B) of bounded linear operators acting on a Hilbert space be a solution of the operator equations ABA = A2 and BAB = B2. When A is a paranormal operator, we explore some behaviors of the operators AB, BA, and B. In particular, if A or A* is a polynomial root of paranormal operators, we show that Weyl type theorems are satisfied for the operators AB, BA, and B.

Original languageEnglish
Pages (from-to)1195-1207
Number of pages13
Issue number6
StatePublished - 2015

Bibliographical note

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© 2015 University of Nis. All Rights Reserved.


  • Generalized Weyl’s theorem
  • Paranormal operator
  • Single valued extension property


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