Operator realizations of non-commutative analytic functions

A realization is a triple, $(A,b,c)$ , consisting of a $d-$ tuple, $A= (A_1, \cdots , A_d )$ , $d\in \mathbb {N}$ , of bounded linear operators on a separable, complex Hilbert space, $\mathcal {H}$ , and vectors $b,c \in \mathcal {H}$ . Any such realization defines an analytic non-commutative (NC) f...

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Bibliographic Details
Published in:	Forum of Mathematics, Sigma Vol. 13
Main Authors:	Augat, Méric L., Martin, Robert T. W., Shamovich, Eli
Format:	Journal Article
Language:	English
Published:	Cambridge, UK Cambridge University Press 22.08.2025
Subjects:	16E60 46L52 47B07 Analysis Analytic functions Commuting Complex variables Hilbert space Linear operators Mathematical analysis Meromorphic functions Neighborhoods Operators (mathematics) Rational functions Taylor series Universe Variables 47B07 46L52 16E60
ISSN:	2050-5094, 2050-5094
Online Access:	Get full text
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