TL;DR
This paper discusses the proof of the von Neumann inequality for 3x3 matrices, building on Kosiński's recent work on the three point Pick interpolation problem on the polydisc.
Contribution
The paper provides a detailed explanation and standard reductions of Kosiński's proof for the von Neumann inequality in the 3x3 matrix case.
Findings
Confirmed the von Neumann inequality for 3x3 matrices
Clarified the reduction steps used in the proof
Attribution of the main result to Kosiński
Abstract
Recent work of Kosi\'nski 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 Kosi\'nski.
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