On a relation related to strong Birkhoff–James orthogonality

DOI10.1080/03081087.2020.1784082OpenAlexW3037119367MaRDI QIDQ5089347

Anđa Valent, Ljiljana Arambašić

Publication date: 19 July 2022

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

Full work available at URL: https://doi.org/10.1080/03081087.2020.1784082

zbMATH Keywords

linear preserverlinear operatorfinite-dimensional Hilbert space(strong) Birkhoff-James orthogonality

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear preserver problems (15A86)

Cites Work

• A strong version of the Birkhoff-James orthogonality in Hilbert \(C^\ast\)-modules
• The Birkhoff-James orthogonality in Hilbert \(C^{\ast }\)-modules
• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Linear preserver problems: A brief introduction and some special techniques
• Primitive ideals in enveloping algebras
• Linear maps that preserve singular and nonsingular matrices
• Orthogonality of matrices and some distance problems
• Operators preserving the strong Birkhoff-James orthogonality on \(\mathbf{B}(H)\)
• On operators preserving James' orthogonality
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• Sur une généralisation du groupe orthogonal à quatre variables
• On three concepts of orthogonality in HilbertC^*-modules
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Inner products in normed linear spaces

This page was built for publication: On a relation related to strong Birkhoff–James orthogonality