PROPERTIES OF SEPARATING POLYNOMIALS AND SEPARATING UNIFORMLY ANALYTIC FUNCTIONS

摘要

We consider the properties of separating polynomials and uniformly analytic separating functions. We prove that the polynomial automorphism preserves a separating polynomial with positive-definite components. We also show that the composition of a uniformly analytic separating function and a linear mapping that does not decrease the norm is a uniformly analytic separating function.