Unitaries permuting two orthogonal projections

DOI10.1016/j.laa.2017.03.026OpenAlexW2600983265MaRDI QIDQ1789407

Barry Simon

Publication date: 10 October 2018

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

Full work available at URL: https://arxiv.org/abs/1703.05437

zbMATH Keywords

indexpairs of projections

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. (47A46)

Related Items (13)

Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ An interpolation property of reflections involving orthogonal projections ⋮ General explicit descriptions for intertwining operators and direct rotations of two orthogonal projections ⋮ The structures and decompositions of symmetries involving idempotents ⋮ Similarity between two projections ⋮ General explicit descriptions for two classes of symmetries involving idempotents ⋮ Intertwining Operators between Two Orthogonal Projections ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Characterizations of the reflection operators ⋮ Halmos' two projections theorem for Hilbert \(C^\ast\)-module operators and the Friedrichs angle of two closed submodules ⋮ Miscellaneous equalities for idempotent matrices with applications ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ On a conjecture by Mbekhta about best approximation by polar factors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A gentle guide to the basics of two projections theory
• On the index of Fredholm pairs of idempotents
• Analytic perturbation theory for matrices and operators. Licensed ed
• The index of a pair of projections
• On pairs of projections in a Hilbert space
• Perturbation des transformations autoadjointes dans l'espace de Hilbert
• Analytic perturbation of operators in Banach spaces
• Products of symmetries
• Two Subspaces
• Operator Theory
• Theory of operator algebras I.

This page was built for publication: Unitaries permuting two orthogonal projections