The Howland–Kato Commutator Problem

Ira Herbst () and Thomas L. Kriete ()
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Ira Herbst: University of Virginia
Thomas L. Kriete: University of Virginia

A chapter in Analysis and Operator Theory, 2019, pp 191-223 from Springer

Abstract: 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.

Date: 2019
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DOI: 10.1007/978-3-030-12661-2_10

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