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arXiv · 2305.16745

The Howland-Kato Commutator Problem II

Richard Froese·Ira Herbst
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Abstract

We continue the search, begun by Kato, for all pairs of real, bounded, measurable functions $\{f,g\}$ that result in a positive commutator $[if(P),g(Q)]$. We prove a number of partial results including a connection with Loewner's celebrated theorem on matrix monotone functions.

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Richard Froese, Ira Herbst. 2023-05-26. The Howland-Kato Commutator Problem II. https://arxiv.org/abs/2305.16745

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