EP Operators and Generalized Inverses

Stephen L. Campbell, Carl D. Meyer

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Source: Crossref

Published: Aug 1, 1975

DOI: 10.4153/cmb-1975-061-4

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Source abstract

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 EP r . 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.

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