Operators having the symmetrized bidisc as a spectral set

By Jim Agler, N. Young. Proceedings of the Edinburgh Mathematical Society, 2000

60 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

A model theory for Γ-contractions (2003, background): “Proof. The equivalence of (i) to (v) is contained in Theorem 1.5 of [ 4 ] while the equivalence of (i) and (vi) is given in Theorem 1.5 of [5].”
The hyperbolic geometry of the symmetrized bidisc (2004, methodology): “Functions on G are essentially the same as symmetric functions on D 2. Special properties of G have consequences for operator theory (the development of an analogue of the Sz.-Nagy model theory for certain pairs of commuting operators) and operator algebras (a new example of an algebra for which eve”
The tetrablock as a spectral set (2014, background): “been studied by Edigarian, Kosinski and Zwonek in [16], [17], [18] and [27]. Young’s work on the symmetrized bidisc, the Γ-contractions and the tetrablock with his many co-authors (see [1], [2], [5], [6] and [7]) has been from opetator theoritic point of view. The symmetrized bidisc G = {(z1 +z2,z1z”
Operator Theory on Symmetrized Bidisc (2012, background): “For instance, Γ is polynomially convex [4] but non-convex and inhomogeneous.”