Perturbations and operator trace functions

Details Perturbations and operator trace functions Perturbations and operator trace functions

2010-12-15

arxiv.org/abs/1012.3306v1

Mathematics

Functional Analysis

13 pages; To appear in J. Funct. Anal

Scientific paper

We study the spectral functional tr f(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 G\^ateaux 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.

Affiliated with

Also associated with

No associations

Rating

Perturbations and operator trace functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Perturbations and operator trace functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Perturbations and operator trace functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-13821