Unitary equivalence to a complex symmetric matrix: geometric criteria
Functional Analysis
2010-03-16 v2 Operator Algebras
Abstract
We develop several methods, based on the geometric relationship between the eigenspaces of a matrix and its adjoint, for determining whether a square matrix having distinct eigenvalues is unitarily equivalent to a complex symmetric matrix. Equivalently, we characterize those matrices having distinct eigenvalues which lie in the unitary orbit of the complex symmetric matrices.
Keywords
Cite
@article{arxiv.0907.2728,
title = {Unitary equivalence to a complex symmetric matrix: geometric criteria},
author = {Stephan Ramon Garcia and Levon Balayan},
journal= {arXiv preprint arXiv:0907.2728},
year = {2010}
}
Comments
21 pages. Minor corrections. To appear in Operators and Matrices