\(C^*\)-isomorphisms associated with two projections on a Hilbert \(C^*\)-module

DOI10.1007/s11401-023-0018-9zbMath1528.46047arXiv2203.00827OpenAlexW4378549991MaRDI QIDQ6167101

Guanjie Yan, Chunhong Fu, Qingxiang Xu

Publication date: 7 July 2023

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.00827

zbMATH Keywords

projectionHilbert \(C^*\)-module\(C^*\)-isomorphismorthogonal complementarity

Mathematics Subject Classification ID

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

Cites Work

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• Products of orthogonal projections and polar decompositions
• 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
• On rings of operators. Reduction theory
• Douglas factorization theorem revisited
• Inner Product Modules Over B ∗ -Algebras

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