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The Howland-Kato Commutator Problem II

Published 26 May 2023 in math.SP | (2305.16745v1)

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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