The Fuglede Theorem and Some Intertwining Relations
Functional Analysis
2019-01-29 v1
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.
Keywords
Cite
@article{arxiv.1901.09271,
title = {The Fuglede Theorem and Some Intertwining Relations},
author = {Ikram Fatima Zohra Bensaid and Souheyb Dehimi and Bent Fuglede and Mohammed Hichem Mortad},
journal= {arXiv preprint arXiv:1901.09271},
year = {2019}
}
Comments
08 pages