Dilation theory and functional models for tetrablock contractions

DOI10.1007/978-3-031-50535-5_3MaRDI QIDQ6610387

Haripada Sau, Joseph A. Ball

Publication date: 25 September 2024

zbMATH Keywords

spectral setfunctional modelunitary dilationcommutative contractive operator-tuplesisometric liftpseudo-commutative contractive lift

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)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Explicit and unique construction of tetrablock unitary dilation in a certain case
• Dilations of \(\varGamma\)-contractions by solving operator equations
• A note on tetrablock contractions
• Rational dilation problems associated with constrained algebras
• The complex structured singular value
• A model theory for operators associated with a domain related to \(\mu\)-synthesis
• Functional models for commuting Hilbert-space contractions
• Rational dilation of tetrablock contractions revisited
• A Schwarz lemma for a domain related to \(\mu\)-synthesis
• The failure of rational dilation on the tetrablock
• Unitary dilations for commuting contractions
• Subalgebras of C\(^*\)-algebras. II
• Harmonic analysis of operators on Hilbert space
• The operator Fejer-Riesz theorem
• Operators having the symmetrized bidisc as a spectral set
• A functional model for pure $\Gamma$-contractions
• 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
• Structure theory for operators. I.
• Canonical decomposition of a tetrablock contraction and operator model

This page was built for publication: Dilation theory and functional models for tetrablock contractions

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6610387)