Some thoughts on Ando's theorem and Parrott's example

DOI10.1016/S0024-3795(01)00454-2zbMath1007.46028OpenAlexW2069236653MaRDI QIDQ5957207

Gadadhar Misra, Tirthankar Bhattacharyya, Bhaskar Bagchi

Publication date: 14 March 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(01)00454-2

zbMATH Keywords

Ando's dilation theoremcommuting contractionscompletely contractive homomorphismtri-disc algebra

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Cites Work

• Bounded modules, extremal problems, and a curvature inequality
• Completely bounded modules and associated extremal problems
• Representations of function algebras, abstract operator spaces, and Banach space geometry
• Completely contractive Hilbert modules and Parrott's example
• On an inequality of von Neumann and an application of the metric theory of tensor products to operators theory. (Appendix by S. Kaijser and N. Th. Varopoulos.)
• Contractive homomorphisms and tensor product norms
• Subalgebras of \(C^ *\)-algebras
• Unitary dilations for commuting contractions
• Subalgebras of C\(^*\)-algebras. II
• Generalized Bergman Kernels and the Cowen-Douglas Theory
• Complex geometry and operator theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some thoughts on Ando's theorem and Parrott's example