Counterexamples Related to Commutators of Unbounded Operators

The present paper is exclusively devoted to examples and 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.

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Veröffentlicht in:Resultate der Mathematik 2019-12, Vol.74 (4), Article 174
1. Verfasser: Mortad, Mohammed Hichem
Format: Artikel
Sprache:eng
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Zusammenfassung:The present paper is exclusively devoted to examples and 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.
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-019-1100-1