Function Theory from Tensor Algebras

Paul S. Muhly; Baruch Solel

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

Back

Book chapter

Function Theory from Tensor Algebras

Paul S. Muhly and Baruch Solel

Multivariable Operator Theory, pp.587-620

Springer Nature Switzerland

2023

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

View Online

Abstract

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’.

15A72

16D20

16E99

16G20

16S20

30A98

46J15

46K50

46T25

47D99

47L30

Free analysis

Matricial functions

Matricial sets

Noncommutative function theory

Primary 46L15

Secondary 15A24

Tensor algebras

Details

Title: Subtitle: Function Theory from Tensor Algebras
Creators: Paul S. Muhly - University of Iowa
Baruch Solel - Technion – Israel Institute of Technology
Resource Type: Book chapter
Publication Details: Multivariable Operator Theory, pp.587-620
Publisher: Springer Nature Switzerland; Cham
DOI: 10.1007/978-3-031-50535-5_24
Language: English
Date published: 2023
Academic Unit: Mathematics
Record Identifier: 9984533279402771

Metrics

1 Record Views