Unitary skew-dilations of Hilbert space operators

DOI10.17398/2605-5686.35.2.137OpenAlexW4287974087MaRDI QIDQ5149507

Vidal Agniel

Publication date: 11 February 2021

Published in: Extracta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17398/2605-5686.35.2.137

zbMATH Keywords

dilationsnumerical radiusHilbert space operatorsfunctional calculi\((\rho_n)\)-classes\(\rho\)-classes\(\rho\)-radiicompressions of linear operators

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Functional calculus for linear operators (47A60) Numerical range, numerical radius (47A12) Dilations, extensions, compressions of linear operators (47A20)

Related Items (1)

Reproducing kernels and skew-dilation of Hilbert space operators

Cites Work

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• Constants related to operators of class \(C_\rho\)
• \(W_A\) contractions
• Constrained von Neumann inequalities
• Similarity problems and completely bounded maps
• Inequalities governing the operator radii associated with unitary \(\rho\)- dilations
• Convexity properties of operator radii associated with unitary \(p\)-dilations
• Harmonic analysis of operators on Hilbert space
• On a problem of Bernard Chevreau concerning the 𝜌-contractions
• Operator radii and unitary operators
• Operator Radii of Commuting Products
• Höder–type inequalities associated with operator radii and schur products^†
• Ten problems in Hilbert space

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