4 papers
The limiting absorption principle for massless Dirac operators, properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators
Alan Carey, Fritz Gesztesy, Galina Levitina +3
We derive a limiting absorption principle on any compact interval in for the free massless Dirac operator, in $[L^2(\mathbb…
Pietsch correspondence for symmetric functionals on Calkin operator spaces associated with semifinite von Neumann algebras
Galina Levitina, Alexandr Usachev
In this paper we extend the Pietsch correspondence for ideals of compact operators and traces on them to the semifinite setting. We prove that a shift-monotone space of seq…
Noncommutative Geometry for Symmetric Non-Self-Adjoint Operators
Alain Connes, Galina Levitina, Edward McDonald +2
We introduce the notion of a pre-spectral triple, which is a generalisation of a spectral triple where is no longer required to be self-adjoint, but close…
The Spectral shift function and the Witten index
Alan Carey, Fritz Gesztesy, Galina Levitina +1
We survey the notion of the spectral shift function of a pair of self-adjoint operators and recent progress on its connection with the Witten index. We also describe a proof of Kre…