Geodesic neighborhoods in unitary orbits of self-adjoint operators of \(\mathcal{K}+\mathbb{C}\)
DOI10.1016/j.difgeo.2021.101778OpenAlexW3169330724WikidataQ115354534 ScholiaQ115354534MaRDI QIDQ2041098
Tamara Bottazzi, Alejandro Varela
Publication date: 15 July 2021
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.03650
Homogeneous spaces (22F30) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Geodesics in global differential geometry (53C22)
Cites Work
- Unnamed Item
- Metric geometry in homogeneous spaces of the unitary group of a \(C^*\)-algebra. II: Geodesics joining fixed endpoints
- Minimal matrices and the corresponding minimal curves on flag manifolds in low dimension
- On extreme contractions and the norm attainment set of a bounded linear operator
- Metric geometry in homogeneous spaces of the unitary group of a \(C^*\)-algebra. I: Minimal curves
- Best approximation by diagonal compact operators
- On normal operator logarithms
- Unitary subgroups and orbits of compact self-adjoint operators
- Minimal length curves in unitary orbits of a Hermitian compact operator
This page was built for publication: Geodesic neighborhoods in unitary orbits of self-adjoint operators of \(\mathcal{K}+\mathbb{C}\)
