Further properties of generalized and hypergeneralized projectors

DOI10.1016/j.laa.2004.03.013zbMath1068.15036OpenAlexW1972497290MaRDI QIDQ1887625

Oskar Maria Baksalary, Xiaoji Liu, Jerzy K. Baksalary

Publication date: 22 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.03.013

zbMATH Keywords

Moore-Penrose inversepartial isometrynormal matrixidempotent matrixEP matrixhypergeneralized projectorquadripotent matrixgeneralized projector

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (12)

On some linear combinations of hypergeneralized projectors ⋮ On linear combinations of two commuting hypergeneralized projectors ⋮ A note on the differentiable structure of generalized idempotents ⋮ Representation of projectors involving Minkowski inverse in Minkowski space ⋮ Properties of the combinations of commutative idempotents ⋮ Further results on generalized and hypergeneralized projectors ⋮ Partial isometries and pseudoinverses in semi-Hilbertian spaces ⋮ On linear combinations of generalized involutive matrices ⋮ Unnamed Item ⋮ A note on generalized and hypergeneralized projectors ⋮ On nonsingularity and group inverse of linear combinations of generalized and hypergeneralized projectors ⋮ Characterizations of \(k\)-potent elements in rings.

Cites Work

• Generalized and hypergeneralized projectors
• Further properties of the star, left-star, right-star, and minus partial orderings.
• A property of orthogonal projectors
• An alternative characterization of generalized projectors

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