Function Theory from Tensor Algebras

Paul S. Muhly () and Baruch Solel ()
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Paul S. Muhly: University of Iowa, Department of Mathematics
Baruch Solel: Technion, Department of Mathematics

A chapter in Multivariable Operator Theory, 2023, pp 587-620 from Springer

Abstract: Abstract We survey connections between our work on tensor algebras over $$C^*$$ C * -correspondences and free analysis. The goal is to expose the fundamental features that underwrite both NC-function theory and our tensorial function theory: ‘Respecting intertwiners’ and ‘local uniform boundedness’.

Keywords: Free analysis; Noncommutative function theory; Tensor algebras; Matricial sets; Matricial functions; Primary 46L15; 47L30; 47D99; 15A72; 16S20; Secondary 15A24; 16D20; 16E99; 16G20; 30A98; 46J15; 46K50; 46T25 (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_24

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DOI: 10.1007/978-3-031-50535-5_24

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