Geometry of infinite dimensional unitary groups: convexity and fixed points
DOI10.1016/j.jmaa.2023.127436arXiv2203.06315OpenAlexW4377990565MaRDI QIDQ6110886
Publication date: 6 July 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.06315
unitary groupscircumcenterfinite von Neumann algebrageodesic convexitypath metric space$p$-Schatten class
General theory of von Neumann algebras (46L10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Group structures and generalizations on infinite-dimensional manifolds (58B25) Duality and reflexivity in normed linear and Banach spaces (46B10)
Cites Work
- Unnamed Item
- Unnamed Item
- Convexity of the geodesic distance on spaces of positive operators
- Convexity properties of \(tr[(a^*a)^n\)]
- An analytic family of uniformly bounded representations of free groups
- On Ulam stability
- Jacobi fields and Finsler metrics on compact Lie groups with an application to differentiable pinching problems
- Homogeneous manifolds from noncommutative measure spaces
- How to conjugate C\(^1\)-close group actions
- Classical Banach-Lie algebras and Banach-Lie groups of operators in Hilbert space
- Poincaré inequalities, embeddings, and wild groups
- Finsler geometry and actions of the $p$-Schatten unitary groups
- The rectifiable distance in the unitary Fredholm group
- Minimality of Geodesics in Grassmann Manifolds
- GRASSMANNIANS OF A FINITE ALGEBRA IN THE STRONG OPERATOR TOPOLOGY
- GEOMETRY OF UNITARIES IN A FINITE ALGEBRA: VARIATION FORMULAS AND CONVEXITY
- Theory of operator algebras I.
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