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The Howland–Kato Commutator Problem

In: Analysis and Operator Theory

Author

Listed:
  • Ira Herbst

    (University of Virginia)

  • Thomas L. Kriete

    (University of Virginia)

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.

Suggested Citation

  • Ira Herbst & Thomas L. Kriete, 2019. "The Howland–Kato Commutator Problem," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Valentin A. Zagrebnov (ed.), Analysis and Operator Theory, pages 191-223, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-12661-2_10
    DOI: 10.1007/978-3-030-12661-2_10
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