Generalized Schur complements and \(P\)-complementable operators

DOI10.1016/j.laa.2003.07.010zbMath1067.47026OpenAlexW1967280573WikidataQ88554119 ScholiaQ88554119MaRDI QIDQ703640

Demetrio Stojanoff, Pedro G. Massey

Publication date: 11 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.07.010

zbMATH Keywords

Hadamard productcompletely positive mapsshorted operatorpositive semidefinite operators

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive linear operators and order-bounded operators (47B65) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items

Bilateral shorted operators and parallel sums, On the invertibility of the operatorA-XB, Shorting selfadjoint operators in Hilbert spaces, Schur complements of selfadjoint Krein space operators

Cites Work

• Schur products and matrix completions
• Completely positive linear maps on complex matrices
• Hadamard inverses, square roots and products of almost semidefinite matrices
• Index of Hadamard multiplication by positive matrices
• An observation on the Hadamard product of Hermitian matrices
• Index of subfactors and statistics of quantum fields. I
• Oblique projections and abstract splines.
• On operator ranges
• Shorted Operators. II
• Extremal Characterizations of the Schur Complement and Resulting Inequalities
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Index of Hadamard multiplication by positive matrices. II
• Generalized Schur complements and oblique projections
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