Essentially commuting projections

DOI10.1016/j.jfa.2014.10.003zbMath1315.47012OpenAlexW2091874879MaRDI QIDQ477047

Esteban Andruchow, Eduardo Chiumiento, Maria Eugenia Di Iorio y Lucero

Publication date: 2 December 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2014.10.003

zbMATH Keywords

projectionsgeodesicscompact operatorsFredholm index

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) General theory of (C^*)-algebras (46L05) Geodesics in global differential geometry (53C22)

Related Items (6)

\(p\)-Schatten commutators of projections ⋮ Characterizations of generalized pencils of pairs of projections ⋮ Hopf–Rinow theorem in Grassmann manifolds of C*-algebras ⋮ Geometric significance of Toeplitz kernels ⋮ Anti-selfadjoint operators as commutators of projections ⋮ Pencils of pairs of projections

Cites Work

• Operators which are the difference of two projections
• The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits
• Loop groups and equations of KdV type
• Automorphisms of the canonical anticommutation relations and index theory
• The geometry of spaces of projections in \(C^*\)-algebras
• The index of a pair of projections
• On pairs of projections in a Hilbert space
• Algebras almost commuting with Clifford algebras
• Minimality of Geodesics in Grassmann Manifolds
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