Non-commutative Functional Calculus and Spectral Theory
Functional Analysis
2015-04-29 v1 Operator Algebras
Abstract
We develop a functional calculus for -tuples of non-commuting elements in a Banach algebra. The functions we apply are free analytic functions, that is nc functions that are bounded on certain polynomial polyhedra.
Cite
@article{arxiv.1504.07323,
title = {Non-commutative Functional Calculus and Spectral Theory},
author = {Jim Agler and John E. McCarthy},
journal= {arXiv preprint arXiv:1504.07323},
year = {2015}
}