Counterexamples Related to Commutators of Unbounded Operators

DOI10.1007/S00025-019-1100-1arXiv1811.09893WikidataQ124880659 ScholiaQ124880659MaRDI QIDQ6310155

Publication date: 24 November 2018

Abstract: The present paper is exclusively devoted to counterexamples about commutators and self commutators of unbounded operators on a Hilbert space. As a bonus, we provide a simpler counterexample than McIntosh's famous example obtained some while ago.

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Commutators, derivations, elementary operators, etc. (47B47) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

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