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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Zh. Mat. Fiz. Anal. Geom., 2008 Volume 4, Number 1, Pages 63–107 (Mi jmag85)

This article is cited in 23 papers

On the Koplienko spectral shift function. I. Basics

F. Gesztesya, A. Pushnitskib, B. Simonc

a Department of Mathematics, University of Missouri, Columbia, MO 65211, USA
b Department of Mathematics, King's College London Strand, London WC2R 2LS, England, UK
c Mathematics 253-37, California Institute of Technology, Pasadena, CA 91125, USA

Key words and phrases: Krein's spectral shift function, Koplienko's spectral shift function, selfadjoint operators, trace class and Hilbert–Schmidt perturbations, convexity properties, boundary values of (modified) Fredholm determinants.

MSC: Primary 47A10, 81Q10; Secondary 34B27, 47A40, 81Uxx

Received: 16.05.2007

Language: English



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