Rational dilation of tetrablock contractions revisited

DOI10.1016/j.jfa.2019.108275OpenAlexW2965908622MaRDI QIDQ2334563

Haripada Sau, Joseph A. Ball

Publication date: 7 November 2019

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

Full work available at URL: https://arxiv.org/abs/1907.10832

zbMATH Keywords

tetrablockrational dilation

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Dilations, extensions, compressions of linear operators (47A20) Spectral sets of linear operators (47A25) Hardy spaces (30H10)

Related Items (8)

Rational penta-inner functions and the distinguished boundary of the pentablock ⋮ Dilation theory and functional models for tetrablock contractions ⋮ On dilation and commuting liftings of \(n\)-tuples of commuting Hilbert space contractions ⋮ Rational tetra-inner functions and the special variety of the tetrablock ⋮ Intrinsic directions, orthogonality, and distinguished geodesics in the symmetrized bidisc ⋮ Survey of last ten years of work done in India in some selected areas of functional analysis and operator theory ⋮ On \(\Gamma_n\)-contractions and their conditional dilations ⋮ A model theory for operators associated with a domain related to \(\mu\)-synthesis

Cites Work

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• The failure of rational dilation on the tetrablock
• Subalgebras of C\(^*\)-algebras. II
• The tetrablock as a spectral set
• The failure of rational dilation on a triply connected domain
• Classical function theory, operator dilation theory, and machine computation on multiply-connected domains

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