Non-commutative functional calculus

Jim Agler; John E. McCarthy

doi:10.1007/s11854-018-0070-7

Non-commutative functional calculus

Jim Agler
, John E. McCarthy

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	211-229
Number of pages	19
Journal	Journal d'Analyse Mathematique
Volume	137
Issue number	1
DOIs	https://doi.org/10.1007/s11854-018-0070-7
State	Published - Mar 1 2019

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title = "Non-commutative functional calculus",

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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Non-commutative functional calculus

Abstract

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