Email this article Krein’s trace formula for unitary operators and operator Lipschitz functions
- Authors: Aleksandrov A.B.1, Peller V.V.2
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Affiliations:
- St.-Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
- Department of Mathematics, Michigan State University
- Issue: Vol 50, No 3 (2016)
- Pages: 167-175
- Section: Article
- URL: https://journal-vniispk.ru/0016-2663/article/view/234197
- DOI: https://doi.org/10.1007/s10688-016-0145-0
- ID: 234197
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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.
About the authors
A. B. Aleksandrov
St.-Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: alex@pdmi.ras.ru
Russian Federation, Moscow
V. V. Peller
Department of Mathematics, Michigan State University
Email: alex@pdmi.ras.ru
United States, East Lansing
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