Function Theory from Tensor Algebras

We survey connections between our work on tensor algebras over 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’.

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Bibliographic Details
Published in:Complex analysis and operator theory 2022-09, Vol.16 (6), Article 92
Main Authors: Muhly, Paul S., Solel, Baruch
Format: Article
Language:English
Subjects:
Analysis
Mathematical analysis
Mathematics
Mathematics and Statistics
Multivariable Operator Theory. The Jörg Eschmeier Memorial
Operator Theory
Tensors
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Description
Summary:We survey connections between our work on tensor algebras over 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’.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-022-01262-3