Asymptotic estimates on the von Neumann inequality for homogeneous polynomials
Asymptotic estimates on the von Neumann inequality for homogeneous polynomials
Abstract By the von Neumann inequality for homogeneous polynomials there exists a positive constant <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mi>C</m:mi> <m:mrow> <m:mi>k</m:mi> <m:mo>,</m:mo> <m:mi>q</m:mi> </m:mrow> </m:msub> </m:math> C_{k,q} ( n ) such that for every k -homogeneous polynomial p in n variables and every n -tuple of commuting operators ( <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> …