\(p\)-metrics on \(\mathbf{GL}(n,\mathbb C)\mathbf U_n\) and their Busemann compactifications.

DOI10.1016/S0024-3795(03)00661-XzbMath1045.15016OpenAlexW2116744833MaRDI QIDQ1415283

Pedro J. Freitas, Shmuel Friedland

Publication date: 3 December 2003

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(03)00661-x

zbMATH Keywords

singular valuestangent bundleSchatten \(p\)-norms\(p\)-metricsBusemann compactificationhomogeneous matrix spaces

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Differential geometry of symmetric spaces (53C35) Algebraic systems of matrices (15A30) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items (5)

Toric varieties vs. horofunction compactifications of polyhedral norms ⋮ A maximin characterisation of the escape rate of non-expansive mappings in metrically convex spaces ⋮ Horofunction compactifications of symmetric cones under Finsler distances ⋮ Horofunction compactifications and duality ⋮ On the Metric Compactification of Infinite-dimensional Spaces

Cites Work

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• On representations and compactifications of symmetric Riemannian spaces
• Extremal eigenvalue problems for convex sets of symmetric matrices and operators
• Revisiting the Siegel upper half plane. I.
• Spaces of nonpositive curvature

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