Path connectivity of idempotents on a Hilbert space

DOI10.1090/S0002-9939-08-09194-6zbMath1146.47001MaRDI QIDQ3533865

Hong-Ke Du, Hai-Yan Zhang, Yan-Ni Chen

Publication date: 24 October 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

idempotenthomotopyorthogonal projectionpath connectivity

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

Cites Work

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• Path connectivity of \(k\)-generalized projectors
• A simplification of the Kovarik formula
• On operator ranges
• The representation and characterization of Drazin inverses of operators on a Hilbert space
• Segments of bounded linear idempotents on a Hilbert space
• Invertibility of linear combinations of two idempotents
• Polynomial Connections between Projections in Banach Algebras
• Idempotents in Banach Algebras
• POLYNOMIAL AND POLYGONAL CONNECTIONS BETWEEN IDEMPOTENTS IN FINITE-DIMENSIONAL REAL ALGEBRAS

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