Krein’s trace formula for unitary operators and operator Lipschitz functions


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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.

作者简介

A. Aleksandrov

St.-Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences

编辑信件的主要联系方式.
Email: alex@pdmi.ras.ru
俄罗斯联邦, Moscow

V. Peller

Department of Mathematics, Michigan State University

Email: alex@pdmi.ras.ru
美国, East Lansing

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