EP Operators and Generalized Inverses
- 1 August 1975
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 18 (3) , 327-333
- https://doi.org/10.4153/cmb-1975-061-4
Abstract
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
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