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arXiv · 1901.09271

The Fuglede Theorem and Some Intertwining Relations

Ikram Fatima Zohra Bensaid·Souheyb Dehimi·Bent Fuglede·Mohammed Hichem Mortad
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Abstract

In this paper, we show a new and classic version of the celebrated Fuglede Theorem in an unbounded setting. A related counterexample is equally presented. In the second strand of the paper, we give a pair of a closed and self-adjoint (unbounded) operators which is not intertwined by any (bounded or closed) operator except the zero operator.

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Ikram Fatima Zohra Bensaid, Souheyb Dehimi, Bent Fuglede, Mohammed Hichem Mortad. 2019-01-26. The Fuglede Theorem and Some Intertwining Relations. https://arxiv.org/abs/1901.09271

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