The failure of rational dilation on the tetrablock

DOI10.1016/j.jfa.2015.07.006zbMath1319.47004arXiv1405.4985OpenAlexW2963643268MaRDI QIDQ2517319

Sourav Pal

Publication date: 17 August 2015

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

Full work available at URL: https://arxiv.org/abs/1405.4985

zbMATH Keywords

spectral setfunctional modeltetrablockrational dilation

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Invariant subspaces of linear operators (47A15) Dilations, extensions, compressions of linear operators (47A20) Canonical models for contractions and nonselfadjoint linear operators (47A45) Spectral sets of linear operators (47A25)

Related Items (8)

Common reducing subspaces and decompositions of contractions ⋮ Dilation theory and functional models for tetrablock contractions ⋮ A generalized Schwarz lemma for two domains related to \(\mu\)-synthesis ⋮ Canonical decomposition of a tetrablock contraction and operator model ⋮ Survey of last ten years of work done in India in some selected areas of functional analysis and operator theory ⋮ Structure theorems for operators associated with two domains related to \(\mu \)-synthesis ⋮ Rational dilation of tetrablock contractions revisited ⋮ A model theory for operators associated with a domain related to \(\mu\)-synthesis

Cites Work

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• Explicit and unique construction of tetrablock unitary dilation in a certain case
• The Lempert theorem and the tetrablock
• Dilations of \(\varGamma\)-contractions by solving operator equations
• Rational dilation on an annulus
• A commutant lifting theorem for a domain in \(\mathbb{C}^2\) and spectral interpolation
• Geometric properties of the tetrablock
• A Schwarz lemma for a domain related to \(\mu\)-synthesis
• From Stinespring dilation to Sz.-Nagy dilation on the symmetrized bidisc and operator models
• Unitary dilations for commuting contractions
• Subalgebras of C\(^*\)-algebras. II
• Harmonic analysis of operators on Hilbert space
• The automorphism group of the tetrablock
• Schwarz lemma for the tetrablock
• 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
• Generalized Interpolation in H ∞
• A Commutativity Theorem for Normal Operators

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