Best approximation by diagonal operators in Schatten ideals

DOI10.1016/j.laa.2021.02.025OpenAlexW3135271895MaRDI QIDQ2020672

Tamara Bottazzi

Publication date: 24 April 2021

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

Full work available at URL: https://doi.org/10.1016/j.laa.2021.02.025

zbMATH Keywords

compact operatorminimalityorthogonalitySchatten \(p\)-normdiagonal operators

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spaces of operators; tensor products; approximation properties (46B28) Linear operator approximation theory (47A58) Linear spaces of operators (47L05)

Related Items (3)

Constructions of minimal Hermitian matrices related to a C*-subalgebra of 𝑀_{𝑛}(ℂ) ⋮ Minimal elements related to a conditional expectation in a \(\mathrm{C}^\ast\)-algebra ⋮ Minimal Hermitian compact operators related to a \(\mathrm{C}^\ast\)-subalgebra of \(K(H)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The operator-valued parallelism
• On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces
• Concrete minimal \(3 \times 3\) Hermitian matrices and some general cases
• Gâteaux derivative of the norm in \(\mathcal{K}(X;Y)\)
• Birkhoff-James orthogonality and smoothness of bounded linear operators
• Norm equalities and inequalities for operator matrices
• Minimal matrices and the corresponding minimal curves on flag manifolds in low dimension
• Operators that are orthogonal to the range of a derivation
• Geometry of Banach spaces. Selected topics
• Norm derivatives on spaces of operators
• Orthogonality of matrices and some distance problems
• Metric geometry in homogeneous spaces of the unitary group of a \(C^*\)-algebra. I: Minimal curves
• Some remarks on Birkhoff-James orthogonality of linear operators
• Characterization of Birkhoff-James orthogonality
• Birkhoff-James orthogonality of operators in semi-Hilbertian spaces and its applications
• Orthogonality of compact operators
• A characterization of minimal Hermitian matrices
• Best approximation by diagonal compact operators
• Orthogonality to matrix subspaces, and a distance formula
• \(c_ p\)
• Orthogonality in linear metric spaces
• Orthogonality of matrices in the Ky Fan k-norms
• ORTHOGONALITY AND PARALLELISM OF OPERATORS ON VARIOUS BANACH SPACES
• Semi-Inner-Product Spaces
• Finsler geometry and actions of the $p$-Schatten unitary groups
• The rectifiable distance in the unitary Fredholm group
• Characterizations of Operator Birkhoff–James Orthogonality
• Gateaux derivative of 𝐵(𝐻) norm
• Classes of Semi-Inner-Product Spaces
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Orthogonality of matrices
• Orthogonality in normed linear spaces
• Minimal length curves in unitary orbits of a Hermitian compact operator

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