On pseudoinverses of operator products

DOI10.1016/0024-3795(80)90101-9zbMath0449.15006OpenAlexW1977202352WikidataQ126463433 ScholiaQ126463433MaRDI QIDQ1147199

A. M. Galperin, Z. Waksman

Publication date: 1980

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(80)90101-9

zbMATH Keywords

projectorMoore-Penrose pseudoinversereverse order lawoperator product

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (16)

Miscellaneous reverse order laws and their equivalent facts for generalized inverses of a triple matrix product ⋮ Two groups of mixed reverse order laws for generalized inverses of two and three matrix products ⋮ Miscellaneous reverse order laws for generalized inverses of matrix products with applications ⋮ Reverse order law in \(C^{\ast }\)-algebras ⋮ The product of operators with closed range and an extension of the reverse order law ⋮ Reverse order laws in rings with involution. ⋮ The reverse order law \((ab)^\#=b^\dagger (a^\dagger abb^\dagger)^\dagger a^\dagger\) in rings with involution ⋮ The equivalence between (AB)^†=B^†A^†and other mixed-type reverse-order laws ⋮ Applications of completions of operator matrices to some properties of operator products on Hilbert spaces ⋮ Equalities for orthogonal projectors and their operations ⋮ A note on the reverse order law for least squareg-inverse of operator product ⋮ Mixed-type reverse-order laws for the generalized inverses of an operator product ⋮ Mixed-type reverse-order laws of \((AB)^{(1,2,3)}\) and \((AB)^{(1,2,4)}\) ⋮ Mixed-type reverse order law of \((AB)^{(13)}\) ⋮ Equalities and inequalities for ranks of products of generalized inverses of two matrices and their applications ⋮ A study of range equalities for mixed products of two matrices and their generalized inverses

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solutions of the Matrix Equation $XAX = X$, and Relations between Oblique and Orthogonal Projectors
• Note on the Generalized Inverse of a Matrix Product
• Erratum: Generalized Inverse of a Matrix Product
• Note on the Generalized Inverse of the Product of Matrices

This page was built for publication: On pseudoinverses of operator products