Sums of orthogonal projections

DOI10.1016/j.jfa.2014.05.003zbMath1292.47013OpenAlexW2060293964MaRDI QIDQ2253258

Man-Duen Choi, Pei Yuan Wu

Publication date: 25 July 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2014.05.003

zbMATH Keywords

tracerankessential normorthogonal projection

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear operator approximation theory (47A58)

Related Items (8)

Positive combinations of projections in von Neumann algebras and purely infinite simple \(C^*\)-algebras ⋮ A note about the norm of the sum and the anticommutator of two orthogonal projections ⋮ Admissible sequences of positive operators ⋮ Positive combinations and sums of projections in purely infinite simple 𝐶*-algebras and their multiplier algebras ⋮ On relationships between two linear subspaces and two orthogonal projectors ⋮ Strong sums of projections in type II factors ⋮ Finite sums of projections in von Neumann algebras ⋮ Finite sums of projections in purely infinite simple C*-algebras with torsion $K_{0}$

Cites Work

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• Constructing tight fusion frames
• Strong sums of projections in von Neumann factors
• Decomposition of a scalar matrix into a sum of orthogonal projections
• Ellipsoidal tight frames and projection decompositions of operators
• Limits of unitarily equivalent normal operators
• A combinatorial characterization of tight fusion frames
• Convex combinations of projections
• On Similarity and the Diagonal of a Matrix
• On sums of projections
• On sums of projections

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