Publication Date

Summer 7-29-2017

Abstract

In this dissertation, we study Taylor approximations of functions of operators with Hilbert-Schmidt resolvents. We obtain integral representations for traces of the respective Taylor remainders that are analogous to trace formulas obtained in the case of Schatten perturbations in [10, 11, 16].

Degree Name

Mathematics

Level of Degree

Doctoral

Department Name

Mathematics & Statistics

First Committee Member (Chair)

Anna Skripka

Second Committee Member

Maria Cristina Pereyra

Third Committee Member

Maxim Zinchenko

Fourth Committee Member

Andres A. Contreras Marcillo

Language

English

Keywords

Trace Formulas

Document Type

Dissertation

Download

Share

COinS