Unitary Equivalence to a Complex Symmetric Matrix: Geometric Criteria

Authors

Levon Balayan '09, Pomona College
Stephan Ramon Garcia, Pomona CollegeFollow

Student Co-author

Pomona Undergraduate

Document Type

Article

Department

Mathematics (Pomona)

Publication Date

2010

Keywords

complex symmetric matrix, complex symmetric operator, unitary equivalence, unitary orbit, UECSM

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.

Comments

This article is also available from Operators and Matrices at: http://oam.ele-math.com/volume/4/issue/1

Rights Information

© 2010 Element d.o.o.

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.7153/oam-04-02

Recommended Citation

Garcia, S.R., Balayan, L., Unitary Equivalence to a Complex Symmetric Matrix: Geometric Criteria, Operators and Matrices 4 (2010), No. 1, 53–76. MR2655004 (2011f:15068). doi: 10.7153/oam-04-02