Book chapter
Multi Variable Semicircular Processes From ā-Homomorphisms and Operators
New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative, pp.199-242
Operator Theory: Advances and Applications, Springer International Publishing
05/21/2021
DOI: 10.1007/978-3-030-76473-9_7
Abstract
In this paper, we (i) consider a Banach ā-probability space šQ(N)\documentclass[12pt]{minimal}
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$$\Bbb {L} _{Q}^{(N)}$$
\end{document} generated by mutually free finitely, or countable-infinitely many semicircular elements, induced by mutually orthogonal projections in a Cā-probability space, (ii) construct certain ā-homomorphisms acting on šQ(N),\documentclass[12pt]{minimal}
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$$\Bbb {L}_{Q}^{(N)},$$
\end{document} determined by the shift processes acting on the index set {1, ā¦, N} of semicircular elements, and the corresponding Banach-space operators induced by them, and (iii) study how the ā -homomorphisms and Banach-space operators of (ii) deform the original free-distributional data on šQ(N).\documentclass[12pt]{minimal}
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$$\Bbb {L}_{Q}^{(N)}.$$
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Details
- Title: Subtitle
- Multi Variable Semicircular Processes From ā-Homomorphisms and Operators
- Creators
- Ilwoo Cho - Saint Ambrose UniversityPalle E. T Jorgensen - University of Iowa
- Resource Type
- Book chapter
- Publication Details
- New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative, pp.199-242
- Publisher
- Springer International Publishing; Cham
- Series
- Operator Theory: Advances and Applications
- DOI
- 10.1007/978-3-030-76473-9_7
- eISSN
- 2296-4878
- ISSN
- 0255-0156
- Language
- English
- Date published
- 05/21/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984240775302771
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