26 citations · 80 across the 28 of their papers we have counts for
6 papers · 1 filter
Spectral flow inside essential spectrum VI: on essentially singular points
Nurulla Azamov
Let be a self-adjoint operator on a Hilbert space endowed with a rigging which is a zero-kernel closed operator from to another Hilbert space $…
On a property of Herglotz functions
Nurulla Azamov
In this note I prove the following property of Herglotz functions, which to my knowledge is new: For a Herglotz function and a real number define a Herglot…
Limiting absorption principle for perturbed operator
Nurulla Azamov
In this note the following theorem is proved. Let and be Hilbert spaces. Let be a self-adjoint operator on $F \colon \mathcal H \to \m…
A Topological Approach to Unitary Spectral Flow via Continuous Enumeration of Eigenvalues
Nurulla Azamov, Tom Daniels, Yohei Tanaka
It is a well-known result of T.\,Kato that given a continuous path of square matrices of a fixed dimension, the eigenvalues of the path can be chosen continuously. In this paper, w…
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…
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…