Trace Class Properties of Resolvents of Callias Operators

• Published in: arXiv.org
• Main Author: Fürst, Oliver
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 21.11.2022
• Subjects: Hilbert space; Multiplication; Operators

We present conditions for a family \(\left(A\left(x\right)\right)_{x\in\mathbb{R}^{d}}\) of self-adjoint operators in \(H^{r}=\mathbb{C}^{r}\otimes H\) for a separable complex Hilbert space \(H\), such that the Callias operator \(D=ic\nabla+A\left(X\right)\) satisfies that \(\left(D^{\ast}D+1\right)...