Unitary equivalence to a complex symmetric matrix: geometric criteria

Details Unitary equivalence to a complex symmetric matrix: geometric criteria Unitary equivalence to a complex symmetric matrix: geometric criteria

2009-07-16

arxiv.org/abs/0907.2728v2

Operators and Matrices 4 (2010), No. 1, 53--76.

Mathematics

Functional Analysis

21 pages. Minor corrections. To appear in Operators and Matrices

Scientific paper

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.

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