Products of orthogonal projections and polar decompositions

DOI10.1016/j.laa.2010.11.033zbMath1210.47001arXiv1011.5237OpenAlexW2077986224MaRDI QIDQ627962

Gustavo Corach, Alejandra L. Maestripieri

Publication date: 4 March 2011

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

Full work available at URL: https://arxiv.org/abs/1011.5237

zbMATH Keywords

polar decompositionpartial isometriesMoore-Penrose pseudoinverseoblique projections

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items

Products of projections, polar decompositions and norms of differences of two projections, Products of projections and self-adjoint operators, Products of positive operators, Products of idempotent operators, Unbounded or bounded idempotent operators in Hilbert space, Harmonious projections and Halmos' two projections theorem for Hilbert \(C^\ast \)-module operators, Factorizations of idempotent operator as products of two idempotents, On partial orders of operators, Splitting of operators and operator equations, Characterizations of generalized pencils of pairs of projections, Schmidt decomposable products of projections, Semiclosed multivalued projections, \(C^*\)-isomorphisms associated with two projections on a Hilbert \(C^*\)-module, Norm inequalities associated with two projections, The pseudo-regularity of the range of orthogonal projections in Krein spaces, Unbounded symmetrizable idempotents, Products of projections and positive operators, Proper splittings and reduced solutions of matrix equations, On some factorizations of operators, Products of orthoprojectors and a theorem of Crimmins, The numerical range and the spectrum of a product of two orthogonal projections, Automorphisms on the poset of products of two projections, Semiclosed projections and applications, On relationships between two linear subspaces and two orthogonal projectors, Anti-selfadjoint operators as commutators of projections, Pencils of pairs of projections, On a conjecture by Mbekhta about best approximation by polar factors, Linear Stable Sampling Rate: Optimality of 2D Wavelet Reconstructions from Fourier Measurements, Operators with compatible ranges

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