Non-commutative holomorphic functions on operator domains

Jim Agler; John E. McCarthy

doi:10.1007/s40879-015-0064-2

Non-commutative holomorphic functions on operator domains

Jim Agler, John E. McCarthy

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

8 Scopus citations

Abstract

We characterize functions of d-tuples of bounded operators on a Hilbert space that are uniformly approximable by free polynomials on balanced open sets.

Original language	English
Pages (from-to)	731-745
Number of pages	15
Journal	European Journal of Mathematics
Volume	1
Issue number	4
DOIs	https://doi.org/10.1007/s40879-015-0064-2
State	Published - Dec 1 2015

Keywords

Free holomorphic functions
Intertwining preserving
Nc functions

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10.1007/s40879-015-0064-2

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title = "Non-commutative holomorphic functions on operator domains",

abstract = "We characterize functions of d-tuples of bounded operators on a Hilbert space that are uniformly approximable by free polynomials on balanced open sets.",

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Non-commutative holomorphic functions on operator domains

Abstract

Keywords

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