Geodesic
Krein's trace formula for unitary operators and operator Lipschitz functions
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 3, pp. 1-11

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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.
Keywords: Krein's trace formula, spectral shift function, operator Lipschitz functions, double operator integrals
Mots-clés : Schur multipliers. 
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     author = {A. B. Aleksandrov and V. V. Peller},
     title = {Krein's trace formula for unitary operators and operator {Lipschitz} functions},
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     year = {2016},
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     url = {http://geodesic.mathdoc.fr/item/FAA_2016_50_3_a0/}
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A. B. Aleksandrov; V. V. Peller. Krein's trace formula for unitary operators and operator Lipschitz functions. Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 3, pp. 1-11. http://geodesic.mathdoc.fr/item/FAA_2016_50_3_a0/