The von Neumann inequality for 3 × 3 matrices in the unit Euclidean ball
摘要
It is shown that the constant cd,3 in von Neumann’s inequality for d-tuples of commutative and row contractive 3 × 3 matrices, as proved by Hartz, Richter, and Shalit in [2], is independent of the size of the d-tuple. A numerical estimation of the constant is provided.