Minimal matrices and the corresponding minimal curves on flag manifolds in low dimension

DOI10.1016/j.laa.2008.10.023zbMath1175.46068OpenAlexW2000202349MaRDI QIDQ1014458

Alejandro Varela, Lázaro Recht, Esteban Andruchow, Luis E. Mata-Lorenzo, Alberto Mendoza

Publication date: 29 April 2009

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

Full work available at URL: http://hdl.handle.net/11336/97240

zbMATH Keywords

approximationmatricescurvesflag manifoldsminimal

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Noncommutative measure and integration (46L51) Group structures and generalizations on infinite-dimensional manifolds (58B25) Differentiability questions for infinite-dimensional manifolds (58B10)

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Constructions of minimal Hermitian matrices related to a C*-subalgebra of 𝑀_{𝑛}(ℂ), The set of partial isometries as a quotient Finsler space, Minimal elements related to a conditional expectation in a \(\mathrm{C}^\ast\)-algebra, Moment of a subspace and joint numerical range, A characterization of minimal Hermitian matrices, Leibniz seminorms and best approximation from \(C^*\)-subalgebras, Best approximation by diagonal compact operators, Minimal Hermitian compact operators related to a \(\mathrm{C}^\ast\)-subalgebra of \(K(H)\), Some characterizations of minimal compact normal operators, Concrete minimal \(3 \times 3\) Hermitian matrices and some general cases, Best approximation by diagonal operators in Schatten ideals, Geodesic neighborhoods in unitary orbits of self-adjoint operators of \(\mathcal{K}+\mathbb{C}\)

Cites Work

• Metric geometry in homogeneous spaces of the unitary group of a \(C^*\)-algebra. I: Minimal curves
• A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
• Spectral approximants of normal operators
• Some Metric Inequalities in the Space of Matrices
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