Optimal paths for symmetric actions in the unitary group

DOI10.1007/s00220-014-2041-xzbMath1298.22007arXiv1107.2439OpenAlexW2020413305MaRDI QIDQ2016038

Jorge Antezana, Gabriel Larotonda, Alejandro Varela

Publication date: 18 June 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.2439

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45) Analysis on real and complex Lie groups (22E30) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Orthogonal matrices (15B10)

Related Items (12)

Finsler geometries on strictly accretive matrices ⋮ Hofer's metric in compact Lie groups ⋮ Weakly invariant norms: geometry of spheres in the space of skew-Hermitian matrices ⋮ Jordan triple endomorphisms and isometries of unitary groups ⋮ Hopf–Rinow theorem in Grassmann manifolds of C*-algebras ⋮ Short geodesics for Ad invariant metrics in locally exponential Lie groups ⋮ Functional Analysis techniques in Optimization and Metrization problems ⋮ Thompson-type formulae ⋮ Geometric significance of Toeplitz kernels ⋮ Metric geometry of infinite-dimensional Lie groups and their homogeneous spaces ⋮ Minimal curves in \(\mathcal{U}(n)\) and \(\mathcal{G}l(n)^+\) with respect to the spectral and the trace norms ⋮ Geodesics of projections in von Neumann algebras

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• Matrix type metric inequalities
• Unitarily Invariant Metrics on the Grassmann Space
• Two Subspaces
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