Operator Theory on Noncommutative Polydomains, I

Gelu Popescu
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Gelu Popescu: The University of Texas at San Antonio, Department of Mathematics

A chapter in Multivariable Operator Theory, 2023, pp 621-721 from Springer

Abstract: Abstract The goal of this paper is to study the noncommutative polydomains and their universal operator models generated by admissible k-tuples of formal power series in several noncommuting indeterminates. Several aspects of the multi-variable operator theory of these polydomains and their universal models are discussed in connection with the noncommutative Hardy algebras they generate.

Keywords: Multivariable operator theory; Noncommutative polydomains; Universal operator models; Fock spaces; Noncommutative Hardy algebras; $$C^*$$ C * -algebras; Primary 47A20; 46L45; 46L52 Secondary 47A60; 47B37 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-50535-5_25

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DOI: 10.1007/978-3-031-50535-5_25

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