Kronecker’s products and kronecker’s sums of operators

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

2 Scopus citations

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 languageEnglish
Title of host publicationContributions in Mathematics and Engineering
Subtitle of host publicationIn Honor of Constantin Caratheodory
PublisherSpringer International Publishing
Pages205-253
Number of pages49
ISBN (Electronic)9783319313177
ISBN (Print)9783319313153
DOIs
StatePublished - 1 Jan 2016

ASJC Scopus subject areas

  • General Mathematics

Fingerprint

Dive into the research topics of 'Kronecker’s products and kronecker’s sums of operators'. Together they form a unique fingerprint.

Cite this