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Showing 2007 · math.FAShow all
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math.FA2007
Spectral averaging for trace compatible operators
Nurulla Azamov, Fyodor Sukochev
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 spectr…
math.FA2007★ 26 cited
The spectral shift function and spectral flow
N. A. Azamov, A. L. Carey, F. A. Sukochev
This paper extends Krein's spectral shift function theory to the setting of semifinite spectral triples. We define the spectral shift function under these hypotheses via Birman-Sol…