G. Levitina

activity

20152026

most citedCwikel estimates revisited

23 citations · 44 across the 9 of their papers we have counts for

collaborators

Showing 2015Show all

4 papers · 1 filter

math.SP2015

Double operator integral methods applied to continuity of spectral shift functions

Alan Carey, Fritz Gesztesy, Galina Levitina +3

We derive two main results: First, assume that $A$ , $B$ , $A_{n}$ , $B_{n}$ are self-adjoint operators in the Hilbert space $H$ , and suppose that $A_{n}$ converges to $A$ and $B_…

math.SP2015

On the Index of a Non-Fredholm Model Operator

Alan Carey, Fritz Gesztesy, Galina Levitina +1

Let ${A (t)}_{t \in R}$ be a path of self-adjoint Fredholm operators in a Hilbert space $H$ , joining endpoints $A_{\pm}$ as $t \to \pm \infty$ . Computing the inde…

math-ph2015

On Index Theory for Non-Fredholm Operators: A $(1 + 1)$ -Dimensional Example

Alan Carey, Fritz Gesztesy, Galina Levitina +3

Using the general formalism of [12], a study of index theory for non-Fredholm operators was initiated in [9]. Natural examples arise from $(1 + 1)$ -dimensional differential operators…

math.SP2015

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…

Double operator integral methods applied to continuity of spectral shift functions

On the Index of a Non-Fredholm Model Operator

On Index Theory for Non-Fredholm Operators: A (1+1)-Dimensional Example

The Spectral shift function and the Witten index

On Index Theory for Non-Fredholm Operators: A $(1 + 1)$ -Dimensional Example