Non-commutative Functional Calculus and Spectral Theory

2015/04/28 by Jim Agler, Agler, Jim, John E. McCarthy +1
Mathematics · #46H30 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.FA #math.OA #msc:46H30

paper · pdf · doi:10.48550/arxiv.1504.07323

arxiv created 2015/04/28 · openalex publication_date 2015/04/28 · arxiv updated 2015/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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