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• W2130206564 abstract "We study the spectral functional A↦Trf(D+A) for a suitable function f, a self-adjoint operator D having compact resolvent, and a certain class of bounded self-adjoint operators A. Such functionals were introduce by Chamseddine and Connes in the context of noncommutative geometry. Motivated by the physical applications of these functionals, we derive a Taylor expansion of them in terms of Gâteaux derivatives. This involves divided differences of f evaluated on the spectrum of D, as well as the matrix coefficients of A in an eigenbasis of D. This generalizes earlier results to infinite dimensions and to any number of derivatives." @default.
• W2130206564 created "2016-06-24" @default.
• W2130206564 creator A5013753864 @default.
• W2130206564 date "2011-04-01" @default.
• W2130206564 modified "2023-10-03" @default.
• W2130206564 title "Perturbations and operator trace functions" @default.
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• W2130206564 doi "https://doi.org/10.1016/j.jfa.2010.12.012" @default.
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