The product of operators with closed range and an extension of the reverse order law

DOI10.2748/tmj/1178229307zbMath0481.47001OpenAlexW1967898597WikidataQ114845232 ScholiaQ114845232MaRDI QIDQ1161891

Saichi Izumino

Publication date: 1982

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229307

zbMATH Keywords

closed rangegeneralized inverseMoore-Penrose inversereverse order law

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

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Cites Work

• Further results on the reverse-order law
• On pseudoinverses of operator products
• Remarks on the lower bound of a linear operator
• The reverse order law \((AB)^-\) = \(B^-A^-\)
• Closed range and relative regularity for products
• Explicit solutions to the reverse order law \((AB)^+=B^-_{mr}A^-_{lr}\)
• Generalized inverses and operator equations
• On operator ranges
• The product of operators with closed range
• Solutions of the Matrix Equation $XAX = X$, and Relations between Oblique and Orthogonal Projectors
• Some theorems on certain contraction operators
• The Pseudo-Inverse of a Product
• On Generalizations of the Reverse Order Law
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