Essentially commuting projections
type: Item
instance of: scholarly article
title: Essentially commuting projections
zbMATH Open document ID: 1315.47012
author: Esteban Andruchow
author: Eduardo Chiumiento
author: M. E. Di Iorio y Lucero
published in: Journal of Functional Analysis
publication date: 2014-12-02T00:00:00Z
review text: The authors obtain classification results for the set of orthogonal projections in a separable Hilbert space that commute in an appropriate sense with a given orthogonal decomposition of the space. The geometric properties of this set are studied, in particular, the existence and uniqueness of certain geodesics.
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 46L05
Mathematics Subject Classification ID: 53C22
zbMATH DE Number: 6376103
zbMATH Keywords: projections
zbMATH Keywords: compact operators
zbMATH Keywords: Fredholm index
zbMATH Keywords: geodesics
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
full work available at URL: j.jfa.2014.10.003
OpenAlex ID: W2091874879
cites work: On pairs of projections in a Hilbert space
cites work: Q3464899
cites work: Operators which are the difference of two projections
cites work: The index of a pair of projections
cites work: The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits
cites work: Q3704116
cites work: Algebras almost commuting with Clifford algebras
cites work: Automorphisms of the canonical anticommutation relations and index theory
cites work: The geometry of spaces of projections in \(C^*\)-algebras
cites work: Q3265046
cites work: Minimality of Geodesics in Grassmann Manifolds
cites work: Q3754832
cites work: Q3308741
cites work: Loop groups and equations of KdV type
DOI: 10.1016/J.JFA.2014.10.003
description: scientific article; zbMATH DE number 6376103