The Fuglede theorem and some intertwining relations
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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 language | English |
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Article number | 9 |
Journal | Advances in Operator Theory |
Volume | 6 |
Issue number | 1 |
Pages (from-to) | 1-8 |
ISSN | 2538-225X |
DOIs | |
Publication status | Published - 2021 |
Bibliographical note
Publisher Copyright:
© 2020, Tusi Mathematical Research Group (TMRG).
- Closed and self-adjoint operators, Intertwining relations, The Fuglede theorem
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