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EP Operators and Generalized Inverses

Published online by Cambridge University Press:  20 November 2018

Stephen L. Campbell and
Carl D. Meyer
Stephen L. Campbell
Affiliation:
Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27607
Carl D. Meyer
Affiliation:
Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27607
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Abstract

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The relationship between properties of the generalized inverse of A, A†, and of the adjoint of A, A*, are studied. The property that A†A and AA† commute, called (E4), is investigated. (E4) generalizes the property of A being EPr. A canonical form and a formula for A† are given if a matrix A is (E4). Results are in a Hilbert space setting whenever possible. Examples are given.

Keywords

15A0915A2147A65Generalized inverseEP operatorsEPr matricescanonical form

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 3 , August 1975, pp. 327 - 333
Copyright
Copyright © Canadian Mathematical Society 1975

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