Abstract
We investigate the following problem: For what bounded measurable real f and g is the commutator i[f(P), g(Q)] positive? This problem originated in work of James Howland and was pursued by Tosio Kato who suggested what might be the answer. So far, there is no proof that Kato was correct but in this paper we discuss the problem and give some partial answers to the above question.
Dedicated to the memory of Tosio Kato
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Acknowledgements
We are grateful to Brian Hall for many useful conversations about this problem.
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Herbst, I., Kriete, T.L. (2019). The Howland–Kato Commutator Problem. In: Rassias, T.M., Zagrebnov, V.A. (eds) Analysis and Operator Theory . Springer Optimization and Its Applications, vol 146. Springer, Cham. https://doi.org/10.1007/978-3-030-12661-2_10
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DOI: https://doi.org/10.1007/978-3-030-12661-2_10
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