Abstract
The main result of this paper is a description of the space of functions on the unit circle, for which Krein’s trace formula holds for arbitrary pairs of unitary operators with trace class difference. This space coincides with the space of operator Lipschitz functions on the unit circle.
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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 50, No. 3, pp. 1–11, 2016 Original Russian Text Copyright © by A. B. Aleksandrov and V. V. Peller
The first author is partially supported by the RFBR grant 14-01-00198; the second author is partially supported by the NSF grant DMS 1300924.
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Aleksandrov, A.B., Peller, V.V. Krein’s trace formula for unitary operators and operator Lipschitz functions. Funct Anal Its Appl 50, 167–175 (2016). https://doi.org/10.1007/s10688-016-0145-0
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DOI: https://doi.org/10.1007/s10688-016-0145-0