Krein’s trace formula for unitary operators and operator Lipschitz functions
- Autores: Aleksandrov A.B.1, Peller V.V.2
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Afiliações:
- St.-Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
- Department of Mathematics, Michigan State University
- Edição: Volume 50, Nº 3 (2016)
- Páginas: 167-175
- Seção: Article
- URL: https://journals.rcsi.science/0016-2663/article/view/234197
- DOI: https://doi.org/10.1007/s10688-016-0145-0
- ID: 234197
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Resumo
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.
Sobre autores
A. Aleksandrov
St.-Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
Autor responsável pela correspondência
Email: alex@pdmi.ras.ru
Rússia, Moscow
V. Peller
Department of Mathematics, Michigan State University
Email: alex@pdmi.ras.ru
Estados Unidos da América, East Lansing
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