An interpolation property of reflections involving orthogonal projections

DOI10.7153/oam-2022-16-21OpenAlexW4221042354MaRDI QIDQ5079600

Hong-Ke Du, Yuan Li, Ya-Nan Wang

Publication date: 27 May 2022

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2022-16-21

zbMATH Keywords

reflectionsorthogonal projectionsinterwining operators

Mathematics Subject Classification ID

Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Operators on Hilbert spaces (general) (47B02)

Cites Work

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• Unitaries permuting two orthogonal projections
• The structures and decompositions of symmetries involving idempotents
• Reflection positivity, duality, and spectral theory
• General explicit descriptions for intertwining operators and direct rotations of two orthogonal projections
• Surjective isometries on Grassmann spaces
• An interpolation problem for conjugations
• A new characterization of gaps between two subspaces
• Two Subspaces

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