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Non-commutative Functional Calculus and Spectral Theory

Published 28 Apr 2015 in math.FA and math.OA | (1504.07323v1)

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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