3 papers
math.FA2026
Analytic spectral flow formula for unitaries and Levinson's theorem
A. Alexander, A. Carey, G. Levitina +1
We prove an integral formula for the spectral flow of differentiable loops of unitaries of the form Schatten. Our formula is in terms of a regularised winding number, ex…
math.FA2014
A Jost-Pais-type reduction of Fredholm determinants and some applications
Alan Carey, Fritz Gesztesy, Denis Potapov +2
We study the analog of semi-separable integral kernels in $\cH$ of the type {equation*} K(x,x')={cases} F_1(x)G_1(x'), & a<x'< x< b, \\ F_2(x)G_2(x'), & a<x<x'<b, {cases} {equation…
math.OA2005
An Analytic Approach to Spectral Flow in von Neumann Algebras
M-T. Benameur, A. L. Carey, J. Phillips +3
The analytic approach to spectral flow is about ten years old. In that time it has evolved to cover an ever wider range of examples. The most critical extension was to replace Fred…