Title of article
A property of orthogonal projectors Original Research Article
Author/Authors
Jerzy K. Baksalary، نويسنده , , Oskar Maria Baksalary، نويسنده , , Tomasz Szulc، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
5
From page
35
To page
39
Abstract
It is shown that if P1 and P2 are orthogonal projectors, then a product having P1 and P2 as its factors is equal to another such product if and only if P1 and P2 commute, in which case all products involving P1 and P2 reduce to the orthogonal projector P1P2. This is a generalization of a result by Baksalary and Baksalary [Linear Algebra Appl. 341 (2002) 129], with the proof based on a simple property of powers of Hermitian nonnegative definite matrices.
Keywords
Hermitian idempotent matrix , Product of projectors , Power of a matrix , Commutativity
Journal title
Linear Algebra and its Applications
Serial Year
2002
Journal title
Linear Algebra and its Applications
Record number
823650
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