The von Neumann inequality for 3x3 matrices

Abstract

Recent work of Kosiński on the three point Pick interpolation problem on the polydisc proves the von Neumann inequality for 3x3 matrices. We give a detailed explanation of this using several standard reductions---credit for the main result should be attributed to Kosiński.

References in corpus (2)

• A 3x3 dilation counterexample
• Three-point Nevanlinna Pick problem in the polydisc

Cited by in corpus (6)

• Schwarz-Pick type inequalities from an operator theoretical point of view
• On Multivariate Matsaev's Conjecture
• Some relations between Schwarz-Pick inequality and von Neumann's inequality
• Minimal isometric dilations and operator models for the polydisc
• The von Neumann inequality for $3\times 3$ matrices in the unit Euclidean ball
• The three-point Pick-Nevanlinna interpolation problem on the polydisc