Illinois Journal of Mathematics

Multiple operator integrals and spectral shift

Anna Skripka

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Multiple scalar integral representations for traces of operator derivatives are obtained and applied in the proof of existence of the higher order spectral shift functions.

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Illinois J. Math., Volume 55, Number 1 (2011), 305-324.

First available in Project Euclid: 19 December 2012

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Zentralblatt MATH identifier

Primary: 47A55: Perturbation theory [See also 47H14, 58J37, 70H09, 81Q15] 47A56: Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones)
Secondary: 46L52: Noncommutative function spaces


Skripka, Anna. Multiple operator integrals and spectral shift. Illinois J. Math. 55 (2011), no. 1, 305--324. doi:10.1215/ijm/1355927038.

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