Short Geodesics of Unitaries in the L2 Metric

DOI10.4153/CMB-2005-032-0zbMath1098.46048MaRDI QIDQ3372697

Esteban Andruchow

Publication date: 10 March 2006

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

unitary group, short geodesics, infinite dimensional Riemannian manifolds.

Mathematics Subject Classification ID

Noncommutative function spaces (46L52) Group structures and generalizations on infinite-dimensional manifolds (58B25) Differentiability questions for infinite-dimensional manifolds (58B10)

Related Items (7)

Finsler geometries on strictly accretive matrices ⋮ Surjective \(L^p\)-isometries on Grassmann spaces ⋮ Metric geometry of partial isometries in a finite von Neumann algebra ⋮ Optimal paths for symmetric actions in the unitary group ⋮ Minimal curves in \(\mathcal{U}(n)\) and \(\mathcal{G}l(n)^+\) with respect to the spectral and the trace norms ⋮ Weak Riemannian manifolds from finite index subfactors ⋮ GEOMETRY OF UNITARIES IN A FINITE ALGEBRA: VARIATION FORMULAS AND CONVEXITY

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