Operators having the symmetrized bidisc as a spectral set

DOI10.1017/S0013091500020812zbMath0983.47004OpenAlexW2022359045MaRDI QIDQ4487701

N. J. Young, Jim Agler

Publication date: 22 June 2000

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500020812

zbMATH Keywords

polynomial identitynormal dilationpolynomial spectral set

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20) Moment problems and interpolation problems in the complex plane (30E05)

Related Items

The hyperbolic geometry of the symmetrized bidisc ⋮ Finite Blaschke products and the construction of rational \(\Gamma\)-inner functions ⋮ Realization of functions on the symmetrized bidisc ⋮ \(L^p\) regularity of the Bergman projection on domains covered by the polydisc ⋮ Holomorphic functions on the symmetrized bidisk - realization, interpolation and extension ⋮ Dilation theory and functional models for tetrablock contractions ⋮ The symmetrization map and \(\Gamma\)-contractions ⋮ Bergman projection on the symmetrized bidisk ⋮ Dilations of \(\varGamma\)-contractions by solving operator equations ⋮ 3-extremal holomorphic maps and the symmetrized bidisc ⋮ Dilation theory: a guided tour ⋮ A rich structure related to the construction of analytic matrix functions ⋮ Spectral sets and distinguished varieties in the symmetrized bidisc ⋮ Functional models of \(\Gamma_n\)-contractions and characterization of \(\Gamma_n\)-isometries ⋮ On \(\Gamma_n\)-contractions and their conditional dilations ⋮ Some Analysable Instances of μ-synthesis ⋮ Unnamed Item

Cites Work

• A commutant lifting theorem for a domain in \(\mathbb{C}^2\) and spectral interpolation
• Subalgebras of \(C^ *\)-algebras
• A Spectral Commutant Lifting Theorem
• Unnamed Item