On simultaneous reduction of a pair of oblique projectors to block triangular form
type: Item
instance of: scholarly article
title: On simultaneous reduction of a pair of oblique projectors to block triangular form
zbMATH Open document ID: 0949.15015
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-07-02T00:00:00Z
review text: The author discusses a linear algebraic concept which is nevertheless little known to experts in linear algebra. A simple linear algebraic proof is given for the following theorem: Let \(A\) and \(B\) be complex diagonalizable \((n\times{n})\)-matrices, each having exactly two eigenvalues. There exists a subspace \({\mathcal L}\subset\mathbb{C}^n\) of dimension one or two that is invariant with respect to both \(A\) and \(B\).
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 1467867
zbMATH Keywords: oblique projectors
zbMATH Keywords: block triangular form
zbMATH Keywords: invariant subspace
zbMATH Keywords: complex diagonalizable matrices
zbMATH Keywords: eigenvalue
author: Kh. D. Ikramov
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1467867