Pairs of orthogonal projections with a fixed difference

DOI10.1016/j.laa.2015.10.020zbMath1341.47001OpenAlexW2175235028MaRDI QIDQ891547

Weijuan Shi, Hong-Ke Du, Guo Xing Ji

Publication date: 17 November 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2015.10.020

zbMATH Keywords

connected componentsvon Neumann algebrapairs of orthogonal projectionsself-adjoint contraction

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (8)

The structures and decompositions of symmetries involving idempotents ⋮ Characterizations of the reflection operators ⋮ Projections with fixed difference: a Hopf-Rinow theorem ⋮ On relationships between two linear subspaces and two orthogonal projectors ⋮ Anti-selfadjoint operators as commutators of projections ⋮ Pencils of pairs of projections ⋮ Tripotents in algebras: ideals and commutators ⋮ Differences and commutators of projections on a Hilbert space

Cites Work

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• Operators which are the difference of two projections
• Pairs of projections: geodesics, Fredholm and compact pairs
• A gentle guide to the basics of two projections 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
• Fredholm properties of the difference of orthogonal projections in a Hilbert space
• Inverting the Difference of Hilbert Space Projections
• Two Subspaces

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