The manifold of finite rank projections in the algebra \(\mathcal L(H)\) of bounded linear operators
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Publication:1611550
DOI10.1016/S0723-0869(02)80015-9zbMath1009.46036arXivmath/0110115OpenAlexW2006498322MaRDI QIDQ1611550
Michael Mackey, Isidro, José M.
Publication date: 27 April 2003
Published in: Expositiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0110115
Riemannian manifoldsdifferential geometryGrassmann manifoldsJBW-algebrasRiemann structureLevi-Civita and the Kähler connectiontorsionfree affine connection
Noncommutative differential geometry (46L87) Local differential geometry of Hermitian and Kählerian structures (53B35) Nonassociative selfadjoint operator algebras (46L70)
Related Items
A Wolff theorem for finite rank bounded symmetric domains ⋮ Harmonic functions on topological groups and symmetric spaces ⋮ Banach manifolds of algebraic elements in the algebra \(\mathcal L(H)\) of bounded linear operators ⋮ Transitivity of inner automorphisms in infinite dimensional Cartan factors
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