Characterizations of the harmonious pairs of projections on a Hilbert C*-module

DOI10.1080/03081087.2021.1953432OpenAlexW3180300005MaRDI QIDQ5888836

Qingxiang Xu, Guanjie Yan, Chunhong Fu

Publication date: 25 April 2023

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

Full work available at URL: https://doi.org/10.1080/03081087.2021.1953432

zbMATH Keywords

projectionHilbert \(C^*\)-moduleharmonious pair of projectionsorthogonal complementarity

Mathematics Subject Classification ID

(C^*)-modules (46L08) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

• Unnamed Item
• The polar decomposition for adjointable operators on Hilbert \(C^*\)-modules and centered operators
• Halmos' two projections theorem for Hilbert \(C^\ast\)-module operators and the Friedrichs angle of two closed submodules
• Harmonious projections and Halmos' two projections theorem for Hilbert \(C^\ast \)-module operators
• Orthogonal complementing in Hilbert $C^*$-modules
• Hilbert 𝐶*-modules in which all closed submodules are complemented
• Inner Product Modules Over B ∗ -Algebras

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