Abstract
This chapter is a survey of recent results of the author on operators on tensor products of Hilbert and Euclidean spaces. We derive norm estimates for the resolvents of Kronecker’s products of operators, Kronecker’s sums of operators, and operator pencils on tensor products of Hilbert spaces. By these estimates, we investigate bounds for spectra of perturbed operators. Applications of our results to matrix differential and integro-differential operators are also discussed.
Original language | English |
---|---|
Title of host publication | Contributions in Mathematics and Engineering |
Subtitle of host publication | In Honor of Constantin Caratheodory |
Publisher | Springer International Publishing |
Pages | 205-253 |
Number of pages | 49 |
ISBN (Electronic) | 9783319313177 |
ISBN (Print) | 9783319313153 |
DOIs | |
State | Published - 1 Jan 2016 |
ASJC Scopus subject areas
- General Mathematics