Spectral averaging for trace compatible operators release_dczx7qhcvjaxxltukdpd3lazb4

by Nurulla Azamov, Fyodor Sukochev

Abstract

In this note the notions of trace compatible operators and infinitesimal spectral flow are introduced. We define the spectral shift function as the integral of infinitesimal spectral flow. It is proved that the spectral shift function thus defined is absolutely continuous and Krein's formula is established. Some examples of trace compatible affine spaces of operators are given.
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Release Date 2007-05-25
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Type  article
Stage   submitted
Date   2007-05-25
Version   v2
arXiv  0704.1683v2
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