Title

Preservers of Eigenvalue Inclusion Sets

Document Type

Article

Publication Date

2010

Abstract

For a square matrix A, let S (A) be an eigenvalue inclusion set such as the Gershgorin region, the Brauer region in terms of Cassini ovals, and the Ostrowski region. Characterization is obtained for maps Φ on n × n matrices satisfying S (Φ (A) - Φ (B)) = S (A - B) for all matrices A and B. From these results, one can deduce the structure of additive or (real) linear maps satisfying S (A) = S (Φ (A)) for every matrix A. © 2010 Elsevier Inc. All rights reserved.

This document is currently not available here.

Published Version

Share

COinS