The Fuglede theorem and some intertwining relations

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

The Fuglede theorem and some intertwining relations. / Bensaid, Ikram Fatima Zohra; Dehimi, Souheyb; Fuglede, Bent; Mortad, Mohammed Hichem.

In: Advances in Operator Theory, Vol. 6, No. 1, 9, 2021, p. 1-8.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Bensaid, IFZ, Dehimi, S, Fuglede, B & Mortad, MH 2021, 'The Fuglede theorem and some intertwining relations', Advances in Operator Theory, vol. 6, no. 1, 9, pp. 1-8. https://doi.org/10.1007/s43036-020-00110-5

APA

Bensaid, I. F. Z., Dehimi, S., Fuglede, B., & Mortad, M. H. (2021). The Fuglede theorem and some intertwining relations. Advances in Operator Theory, 6(1), 1-8. [9]. https://doi.org/10.1007/s43036-020-00110-5

Vancouver

Bensaid IFZ, Dehimi S, Fuglede B, Mortad MH. The Fuglede theorem and some intertwining relations. Advances in Operator Theory. 2021;6(1):1-8. 9. https://doi.org/10.1007/s43036-020-00110-5

Author

Bensaid, Ikram Fatima Zohra ; Dehimi, Souheyb ; Fuglede, Bent ; Mortad, Mohammed Hichem. / The Fuglede theorem and some intertwining relations. In: Advances in Operator Theory. 2021 ; Vol. 6, No. 1. pp. 1-8.

Bibtex

@article{3625c8c120c24d7b92bf590f2e027734,
title = "The Fuglede theorem and some intertwining relations",
abstract = "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.",
keywords = "Closed and self-adjoint operators, Intertwining relations, The Fuglede theorem",
author = "Bensaid, {Ikram Fatima Zohra} and Souheyb Dehimi and Bent Fuglede and Mortad, {Mohammed Hichem}",
note = "Publisher Copyright: {\textcopyright} 2020, Tusi Mathematical Research Group (TMRG).",
year = "2021",
doi = "10.1007/s43036-020-00110-5",
language = "English",
volume = "6",
pages = "1--8",
journal = "Advances in Operator Theory",
issn = "2538-225X",
publisher = "Tusi Mathematical Research Group",
number = "1",

}

RIS

TY - JOUR

T1 - The Fuglede theorem and some intertwining relations

AU - Bensaid, Ikram Fatima Zohra

AU - Dehimi, Souheyb

AU - Fuglede, Bent

AU - Mortad, Mohammed Hichem

N1 - Publisher Copyright: © 2020, Tusi Mathematical Research Group (TMRG).

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - Closed and self-adjoint operators

KW - Intertwining relations

KW - The Fuglede theorem

UR - http://www.scopus.com/inward/record.url?scp=85092609560&partnerID=8YFLogxK

U2 - 10.1007/s43036-020-00110-5

DO - 10.1007/s43036-020-00110-5

M3 - Journal article

AN - SCOPUS:85092609560

VL - 6

SP - 1

EP - 8

JO - Advances in Operator Theory

JF - Advances in Operator Theory

SN - 2538-225X

IS - 1

M1 - 9

ER -

ID: 302076900