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Invariant structure preserving functions and an Oka-Weil Kaplansky density type theorem by Pascoe, J. E. is a scholarly article available to read on EtoBox.

What is Invariant structure preserving functions and an Oka-Weil Kaplansky density type theorem about?

We develop the theory of invariant structure preserving and free functions on a general structured topological space. We show that an invariant structure preserving function is pointwise approximiable by the appropriate analog of polynomials in the strong topology and therefore a free function. Moreover, if a domain of operators on a Hilbert space is polynomially convex, the set of free functions satisfies a Oka-Weil Kaplansky density type theorem -- contractive functions can be approximated by contractive polynomials.

Author

Pascoe, J. E.

Published

2021

Language

EN