Convex combinations of projections

DOI10.1016/0024-3795(90)90019-9zbMath0721.15007OpenAlexW1985897091MaRDI QIDQ2640670

Man-Duen Choi, Pei Yuan Wu

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0024-3795(90)90019-9

zbMATH Keywords

inner-product spaceaverage of projectionsconvex combinations of projectionsoptimal number of projections

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Algebraic systems of matrices (15A30) Quadratic and bilinear forms, inner products (15A63)

Related Items (12)

Additive Decomposition of Real Matrices ⋮ On properties of generalized quadratic operators ⋮ Characterizations and representations of the group inverse involving idempotents ⋮ Quantum magic squares: Dilations and their limitations ⋮ All unital qubit channels are 4-noisy operations ⋮ On the invertibility of the operatorA-XB ⋮ Least-squares approximation by elements from matrix orbits achieved by gradient flows on compact lie groups ⋮ Sums of orthogonal projections ⋮ Representation of tripotents and representations via tripotents ⋮ Invertibility of linear combinations of two idempotents ⋮ On relationships between two linear subspaces and two orthogonal projectors ⋮ Range decompositions and generalized square roots of positive semidefinite matrices

Cites Work

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• Any Hermitian matrix is a linear combination of four projections
• The structure of a real linear combination of two projections
• Means and convex combinations of unitary operators.
• Matrix Analysis
• On sums of projections

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