Brownian type extensions for a class of \(m\)-isometries

DOI10.1007/s00025-023-01917-3OpenAlexW4372402762MaRDI QIDQ6045122

Laurian Suciu

Publication date: 26 May 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-023-01917-3

zbMATH Keywords

extension\(m\)-isometryBrownian unitary operatorsub-Brownian \(m\)-isometry

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Dilations, extensions, compressions of linear operators (47A20) Canonical models for contractions and nonselfadjoint linear operators (47A45) Operators on Hilbert spaces (general) (47B02)

Cites Work

• Unnamed Item
• Triangulations of operators with two-isometric liftings
• The commutant lifting approach to interpolation problems
• Beurling's theorem for the Bergman space
• \(m\)-isometric transformations of Hilbert space. I
• \(m\)-isometric transformations of Hilbert space. II
• \(m\)-isometric transformations of Hilbert space. III
• On invertible \(m\)-isometrical extension of an \(m\)-isometry
• Operators with expansive \(m\)-isometric liftings
• Three-isometric liftings with invariant isometric part
• On operators with two-isometric liftings
• Harmonic analysis of operators on Hilbert space
• Convex and expansive liftings close to two-isometries and power bounded operators
• A Disconjugacy Theorem for Toeplitz Operators
• High order isometric liftings and dilations
• Liftings and extensions of operators in Brownian setting
• Hilbert space operators with two-isometric dilations

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