On the continuity of Birkhoff–James -orthogonality sets

DOI10.1080/03081087.2012.743024zbMath1309.15037OpenAlexW1971294299MaRDI QIDQ2872514

Christos Chorianopoulos, Panayiotis J. Psarrakos

Publication date: 15 January 2014

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

Full work available at URL: https://doi.org/10.1080/03081087.2012.743024

zbMATH Keywords

continuitynumerical rangeHausdorff distanceBirkhoff-James \(\epsilon\)-orthogonality set

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

Related Items (3)

A Birkhoff-James cosine function for normed linear spaces ⋮ Approximate Birkhoff-James Orthogonality in Normed Linear Spaces and Related Topics ⋮ Unnamed Item

Cites Work

• Birkhoff-James approximate orthogonality sets and numerical ranges
• A generalization of the numerical range of a matrix
• On the geometric difference of multivalued mappings.
• Growth conitions and the numerical range in a Banach algebra
• Orthogonality in linear metric spaces
• A definition of numerical range of rectangular matrices

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