Counterexamples Related to Commutators of Unbounded Operators
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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.
KeywordsCommutators self-commutators bounded and unbounded operators
Mathematics Subject ClassificationPrimary 47B47 Secondary 47A05 47B25
The author wishes to thank the referee for all his/her remarks and suggestions which have been necessary to improve some parts of the paper.
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