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arXiv · 1504.07323

Non-commutative Functional Calculus and Spectral Theory

Jim Agler·John E. McCarthy
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Abstract

We develop a functional calculus for $d$-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.

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Jim Agler, John E. McCarthy. 2015-04-28. Non-commutative Functional Calculus and Spectral Theory. https://arxiv.org/abs/1504.07323

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