Any Hermitian matrix is a linear combination of four projections

DOI10.1016/0024-3795(84)90026-0zbMath0547.15012OpenAlexW2051740545MaRDI QIDQ798739

Yoshihiro Nakamura

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90026-0

zbMATH Keywords

Hermitian matrixlinear combination of four projections

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (8)

Convex combinations of projections ⋮ Linear combinations of projections in type III factors ⋮ Linear combination of projections in von Neumann factors ⋮ Expansion formulas for the inertias of Hermitian matrix polynomials and matrix pencils of orthogonal projectors ⋮ Range decompositions and generalized square roots of positive semidefinite matrices ⋮ Strong sums of projections in type II factors ⋮ Finite sums of projections in von Neumann algebras ⋮ Singularity preservers on the set of bounded observables

Cites Work

• Sums of small numbers of idempotents
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