On index theory for non‐Fredholm operators: A (1+ 1)‐dimensional example

A Carey, F Gesztesy, G Levitina… - Mathematische …, 2016 - Wiley Online Library
Using the general formalism of, a study of index theory for non‐Fredholm operators was
initiated in. Natural examples arise from (1+ 1)‐dimensional differential operators using the …

On the index of a non-Fredholm model operator

A Carey, F Gesztesy, G Levitina, F Sukochev - arxiv preprint arxiv …, 2015 - arxiv.org
Let $\{A (t)\} _ {t\in\mathbb {R}} $ be a path of self-adjoint Fredholm operators in a Hilbert
space $\mathcal {H} $, joining endpoints $ A_\pm $ as $ t\to\pm\infty $. Computing the index …

Some applications of almost analytic extensions to operator bounds in trace ideals

F Gesztesy, R Nichols - arxiv preprint arxiv:1502.01078, 2015 - arxiv.org
Using the Davies-Helffer-Sj\" ostrand functional calculus based on almost analytic
extensions, we address the following problem: Given self-adjoint operators $ S_j $, $ j= 1 …

Trace ideal properties of a class of integral operators

F Gesztesy, R Nichols - Integrable systems and algebraic …, 2020 - books.google.com
Trace ideal properties of a class of integral operators Page 22 1 Trace Ideal Properties of a
Class of Integral Operators Fritz Gesztesy and Roger Nichols Dedicated with admiration to …