The Fuglede theorem and some intertwining relations

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  • Ikram Fatima Zohra Bensaid
  • Souheyb Dehimi
  • Fuglede, Bent
  • Mohammed Hichem Mortad

In this paper, we show new versions of the Fuglede theorem in an unbounded setting. A related counterexample is also presented. In the second part of the paper, we give a pair of a closed and a self-adjoint (unbounded) operator which is not intertwined by any (bounded or closed) operator except the zero operator.

Original languageEnglish
Article number9
JournalAdvances in Operator Theory
Volume6
Issue number1
Pages (from-to)1-8
ISSN2538-225X
DOIs
Publication statusPublished - 2021

Bibliographical note

Publisher Copyright:
© 2020, Tusi Mathematical Research Group (TMRG).

    Research areas

  • Closed and self-adjoint operators, Intertwining relations, The Fuglede theorem

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