Pairs of projections: geodesics, Fredholm and compact pairs

DOI10.1007/s11785-013-0327-1zbMath1321.47025OpenAlexW1983351188MaRDI QIDQ484216

Esteban Andruchow

Publication date: 18 December 2014

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-013-0327-1

zbMATH Keywords

projectionFredholm pairFredholm unitary

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) (Semi-) Fredholm operators; index theories (47A53) Fredholm structures on infinite-dimensional manifolds (58B15) Geodesics in global differential geometry (53C22) Topology of infinite-dimensional manifolds (57N20)

Related Items (13)

Classes of idempotents in Hilbert space ⋮ On geometric structure of generalized projections in \(C^*\)-algebras ⋮ General explicit descriptions for intertwining operators and direct rotations of two orthogonal projections ⋮ Grassmann geometry of zero sets in reproducing kernel Hilbert spaces ⋮ Operators which are the difference of two projections ⋮ Pairs of orthogonal projections with a fixed difference ⋮ Characterizations of generalized pencils of pairs of projections ⋮ The topological classification of one-dimensional symmetric quantum walks ⋮ Parametrizing projections with selfadjoint operators ⋮ Hopf–Rinow theorem in Grassmann manifolds of C*-algebras ⋮ Characterizations of the reflection operators ⋮ Anti-selfadjoint operators as commutators of projections ⋮ Pencils of pairs of projections

Cites Work

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• Minimality of Geodesics in Grassmann Manifolds
• Inverting the Difference of Hilbert Space Projections
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