The Fuglede Theorem and Some Intertwining Relations

2019/01/26 by Bensaid, Ikram Fatima Zohra, Dehimi, Souheyb, Fuglede, Bent +1
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1901.09271

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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