Minimal length curves in unitary orbits of a Hermitian compact operator

DOI10.1016/j.difgeo.2015.12.001zbMath1349.53073arXiv1506.06177OpenAlexW2963213570WikidataQ115355775 ScholiaQ115355775MaRDI QIDQ5964086

Tamara Bottazzi, Alejandro Varela

Publication date: 26 February 2016

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06177

zbMATH Keywords

approximation of minimal length curvesgeodesic curvesminimal operators in quotient spacesunitary orbits

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Harmonic analysis on homogeneous spaces (43A85) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear operator approximation theory (47A58) Geodesics in global differential geometry (53C22)

Related Items (8)

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 ⋮ Unitary group orbits versus groupoid orbits of normal operators ⋮ Unitary subgroups and orbits of compact self-adjoint operators ⋮ Minimal Hermitian compact operators related to a \(\mathrm{C}^\ast\)-subalgebra of \(K(H)\) ⋮ Best approximation by diagonal operators in Schatten ideals ⋮ Projections with fixed difference: a Hopf-Rinow theorem ⋮ 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
• Best approximation by diagonal compact operators
• The rectifiable distance in the unitary Fredholm group
• Unnamed Item

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