(DOWNLOAD) "On a J-Polar Decomposition of a Bounded Operator and Matrices of J-Symmetric and J-Skew-Symmetric Operators (Report)" by Sergey M. Zagorodnyuk # Book PDF Kindle ePub Free
eBook details
- Title: On a J-Polar Decomposition of a Bounded Operator and Matrices of J-Symmetric and J-Skew-Symmetric Operators (Report)
- Author : Sergey M. Zagorodnyuk
- Release Date : January 01, 2010
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 136 KB
Description
1. INTRODUCTION AND PRELIMINARIES Complex symmetric, skew-symmetric and orthogonal matrices are classical objects of the finite-dimensional linear analysis [4]. In particular, the normal forms are known for them, see [4, Chapter XI]. Certainly, they have more complicated structures as for Hermitian matrices. However, in a certain sense complex symmetric matrices are more universal. Namely, an arbitrary square complex matrix is similar to a symmetric matrix [4, Chapter XI, p.321]. A generalization of complex symmetric, skew-symmetric and orthogonal matrices leads to the well-known J-symmetric, J-skew-symmetric and J-isometric operators.
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