Orthogonality of matrices

DOI10.1016/S0024-3795(01)00530-4zbMath1003.15028MaRDI QIDQ5915532

Hans Schneider, Chi-Kwong Li

Publication date: 28 August 2002

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

zbMATH Keywords

singular value decompositioncounterexamplesingular valuesmatrix normSchatten \(p\)-normmatrix spaceorthogonality of matrices

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Algebraic systems of matrices (15A30)

Related Items (24)

Some remarks on orthogonality of bounded linear operators-II ⋮ Birkhoff–James Orthogonality: Characterizations, Preservers, and Orthogonality Graphs ⋮ On Birkhoff-James and Roberts orthogonality ⋮ Approximate orthogonality in normed spaces and its applications ⋮ Orthogonality of compact operators ⋮ Quantity of operators with Bhatia-Šemrl property ⋮ Study on Birkhoff orthogonality and symmetry of matrix operators ⋮ Some remarks on orthogonality of bounded linear operators ⋮ Orthogonality of matrices in the Ky Fan k-norms ⋮ A numerical range approach to Birkhoff-James orthogonality with applications ⋮ On a set of norm attaining operators and the strong Birkhoff-James orthogonality ⋮ Operator norm attainment and inner product spaces ⋮ BIRKHOFF ORTHOGONALITY IN CLASSICAL -IDEALS ⋮ Birkhoff-James orthogonality and applications: a survey ⋮ Orthogonality of matrices ⋮ Unnamed Item ⋮ On some geometric properties of operator spaces ⋮ Characterization of Birkhoff-James orthogonality ⋮ The Birkhoff-James orthogonality and norm attainment for multilinear maps ⋮ Rajendra Bhatia and his mathematical achievements ⋮ The Birkhoff-James orthogonality of operators on infinite dimensional Banach spaces ⋮ Operators Birkhoff–James Orthogonal to Spaces of Operators ⋮ Operator norm attainment and Birkhoff-James orthogonality ⋮ Generalized numerical radius and related inequalities

Cites Work

• The bilinear field of values
• Orthogonality of matrices and some distance problems
• On matrices for which norm bounds are attained
• On zero-trace matrices
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item

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