On the invertibility and range closedness of the linear combinations of a pair of projections

DOI10.1080/03081087.2016.1198302zbMath1370.47001OpenAlexW2472625700MaRDI QIDQ2961495

Teng-fei Li, Chun-Yuan Deng

Publication date: 20 February 2017

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

Full work available at URL: https://doi.org/10.1080/03081087.2016.1198302

zbMATH Keywords

idempotentrangeorthogonal projection

Mathematics Subject Classification ID

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

Related Items (2)

The structures and decompositions of symmetries involving idempotents ⋮ Unnamed Item

Cites Work

• Unnamed Item
• On invertibility of combinations of \(k\)-potent operators
• A gentle guide to the basics of two projections theory
• Revisitation of the product of two orthogonal projectors
• Range inclusion and operator equations
• On the invertibility of Hilbert space idempotents
• On operator ranges
• Invertibility and stability of linear combinations ofm-potent operators
• The group inverse of the combinations of two idempotent matrices
• Inverting the Difference of Hilbert Space Projections
• Invertibility of the Difference of Idempotents
• Hilbert space idempotents and involutions
• A new characterization of gaps between two subspaces

This page was built for publication: On the invertibility and range closedness of the linear combinations of a pair of projections