The Howland-Kato Commutator Problem II
Spectral Theory
2023-05-29 v1
Abstract
We continue the search, begun by Kato, for all pairs of real, bounded, measurable functions that result in a positive commutator . We prove a number of partial results including a connection with Loewner's celebrated theorem on matrix monotone functions.
Keywords
Cite
@article{arxiv.2305.16745,
title = {The Howland-Kato Commutator Problem II},
author = {Richard Froese and Ira Herbst},
journal= {arXiv preprint arXiv:2305.16745},
year = {2023}
}