Products of projections, polar decompositions and norms of differences of two projections

DOI10.1007/s41980-020-00518-yzbMath1494.46054OpenAlexW3127774349MaRDI QIDQ2119282

Guanjie Yan, Qingxiang Xu

Publication date: 29 March 2022

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-020-00518-y

zbMATH Keywords

polar decompositionHilbert \(C^\ast\)-moduleproduct of projectionsnorm of the difference of two projections

Mathematics Subject Classification ID

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

Related Items (1)

Norm inequalities associated with two projections

Cites Work

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• The product of operators with closed range in Hilbert \(C^{*}\)-modules
• Products of orthogonal projections and polar decompositions
• Weighted Moore-Penrose inverses of products and differences of weighted projections on indefinite inner-product spaces
• A gentle guide to the basics of two projections theory
• The polar decomposition for adjointable operators on Hilbert \(C^*\)-modules and centered operators
• McIntosh formula for the gap between regular operators
• Halmos' two projections theorem for Hilbert \(C^\ast\)-module operators and the Friedrichs angle of two closed submodules
• Automorphisms on the poset of products of two projections
• The polar decomposition for adjointable operators on Hilbert $C^*$-modules and $n$-centered operators
• Positive semi-definite matrices of adjointable operators on Hilbert \(C^{*}\)-modules
• The Moore-Penrose inverses of products and differences of projections in a \(C^*\)-algebra
• Douglas factorization theorem revisited

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