Properties of two unitary operator functions involving idempotents

DOI10.1007/s43034-019-00036-xzbMath1498.47005OpenAlexW3011785415MaRDI QIDQ781695

Jiajia Niu, Jiaxin Zhang, Yuan Li

Publication date: 17 July 2020

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

Full work available at URL: https://doi.org/10.1007/s43034-019-00036-x

zbMATH Keywords

idempotentssymmetriesoperator function

Mathematics Subject Classification ID

Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Equations involving linear operators, with operator unknowns (47A62) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

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• Classes of idempotents in Hilbert space
• Idempotents as \(J\)-projections
• Idempotents and Kreĭn space
• Projections in Krein spaces
• The geometry of spaces of projections in \(C^*\)-algebras
• Products of idempotent operators
• Similarity between two projections
• The minimal and maximal symmetries for \(J\)-contractive projections
• Idempotents in a space with conjugation
• The structures and decompositions of symmetries involving idempotents
• The absolute values and support projections for a class of operator matrices involving idempotents
• Normal projections in Krein spaces
• Hilbert space idempotents and involutions

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