Characterizations of the reflection operators

DOI10.1007/s40840-019-00838-1zbMath1444.47030OpenAlexW2974699721WikidataQ127218123 ScholiaQ127218123MaRDI QIDQ1988589

Wenting Liang, Chun-Yuan Deng

Publication date: 23 April 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-019-00838-1

zbMATH Keywords

spectrummatrix representationunitary equivalencereflection operator

Mathematics Subject Classification ID

Representation theory of linear operators (47A67) Operators on Hilbert spaces (general) (47B02)

Cites Work

• Unnamed Item
• Pairs of projections: geodesics, Fredholm and compact pairs
• Pairs of orthogonal projections with a fixed difference
• On the index of Fredholm pairs of idempotents
• The index of a pair of projections
• On pairs of projections in a Hilbert space
• Similarity between two projections
• Unitaries permuting two orthogonal projections
• Positivity of $2\times2$ block matrices of operators
• Stability theorems for linear combinations of idempotents
• General explicit descriptions for intertwining operators and direct rotations of two orthogonal projections
• On the perturbation theory of closed linear operators
• On the spectrum of linear combinations of two projections inC*-algebras
• Hilbert space idempotents and involutions
• Spectral properties of the reflection operator in two dimensions
• Two Subspaces

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