Norm inequalities associated with two projections

DOI10.1007/s40840-023-01536-9zbMath1528.46043OpenAlexW4380481525MaRDI QIDQ6173904

Qingxiang Xu, Xiaofeng Zhang, Xiaoyi Tian

Publication date: 13 July 2023

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-023-01536-9

zbMATH Keywords

projectionnorm inequalityMoore-Penrose inversehomotopyHalmos' two projections theorem

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) General theory of (C^*)-algebras (46L05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

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• Products of orthogonal projections and polar decompositions
• A gentle guide to the basics of two projections theory
• Halmos' two projections theorem for Hilbert \(C^\ast\)-module operators and the Friedrichs angle of two closed submodules
• Products of projections, polar decompositions and norms of differences of two projections
• Harmonious projections and Halmos' two projections theorem for Hilbert \(C^\ast \)-module operators
• General explicit descriptions for intertwining operators and direct rotations of two orthogonal projections
• Positive semi-definite matrices of adjointable operators on Hilbert \(C^{*}\)-modules
• On generalized inverses in C*-algebras
• Generalized inverses in C*-algebras II
• Continuity and differentiability of the Moore-Penrose inverse in $C^*$-algebras

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