Halmos' two projections theorem for Hilbert \(C^\ast\)-module operators and the Friedrichs angle of two closed submodules

DOI10.1016/j.laa.2019.04.025zbMath1432.46045arXiv1904.10742OpenAlexW2940990234MaRDI QIDQ2002696

Qingxiang Xu, Mohammad Sal Moslehian, Wei Luo

Publication date: 12 July 2019

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

Full work available at URL: https://arxiv.org/abs/1904.10742

zbMATH Keywords

orthogonal complementFriedrichs angleHilbert \(C^\ast\)-moduleHalmos' two projections theorem

Mathematics Subject Classification ID

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

Related Items (10)

Products of projections, polar decompositions and norms of differences of two projections ⋮ Characterizations of the harmonious pairs of projections on a Hilbert C*-module ⋮ Some results about EP modular operators ⋮ The Friedrichs angle and alternating projections in Hilbert \(C^\ast\)-modules ⋮ Certain properties of orthogonal projections ⋮ Harmonious projections and Halmos' two projections theorem for Hilbert \(C^\ast \)-module operators ⋮ Characterizations of generalized pencils of pairs of projections ⋮ \(C^*\)-isomorphisms associated with two projections on a Hilbert \(C^*\)-module ⋮ Norm inequalities associated with two projections ⋮ Weighted Moore-Penrose inverses associated with weighted projections on indefinite inner product spaces

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