Path connectivity of \(k\)-generalized projectors

DOI10.1016/j.laa.2006.12.001zbMath1115.47001OpenAlexW2003583675MaRDI QIDQ875023

Yingtao Duan, Hong-Ke Du, Wen-feng Wang

Publication date: 10 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.12.001

zbMATH Keywords

generalized projectorhomotopic operators

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (2)

A note on the differentiable structure of generalized idempotents ⋮ Path connectivity of idempotents on a Hilbert space

Cites Work

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• Generalized and hypergeneralized projectors
• The spectral characterization of generalized projections
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• Idempotency of linear combinations of three idempotent matrices, two of which are disjoint
• On linear combinations of generalized projectors
• Idempotency of linear combinations of an idempotent matrix and a \(t\)-potent matrix that commute
• Characterizations and linear combinations of \(k\)-generalized projectors
• A note on generalized and hypergeneralized projectors
• Segments of bounded linear idempotents on a Hilbert space
• Invertibility of linear combinations of two idempotents
• Idempotents in Banach Algebras
• Projections in Real Banach Algebras
• POLYNOMIAL AND POLYGONAL CONNECTIONS BETWEEN IDEMPOTENTS IN FINITE-DIMENSIONAL REAL ALGEBRAS
• {k}-Group Periodic Matrices

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