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Operator Theory on Noncommutative Polydomains, I

In: Multivariable Operator Theory

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  • Gelu Popescu

    (The University of Texas at San Antonio, Department of Mathematics)

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.

Suggested Citation

  • Gelu Popescu, 2023. "Operator Theory on Noncommutative Polydomains, I," Springer Books, in: Ernst Albrecht & Raúl Curto & Michael Hartz & Mihai Putinar (ed.), Multivariable Operator Theory, pages 621-721, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-50535-5_25
    DOI: 10.1007/978-3-031-50535-5_25
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