Book chapter
Free-Homomorphic Relations Induced by Certain Free Semicircular Families
Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory, pp.229-285
Operator Theory: Advances and Applications, Springer International Publishing
09/19/2020
DOI: 10.1007/978-3-030-44819-6_9
Abstract
Starting from a given countable and mutually orthogonal system of projections in Hilbert space, we give a construction of an induced maximal free semicircular noncommutative ∗-probability space 𝕃Q\documentclass[12pt]{minimal}
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$${\mathbb {L}}_{Q}$$
\end{document}. Harmonic analysis with the use of this new Banach ∗-probability space 𝕃Q\documentclass[12pt]{minimal}
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$$ {\mathbb {L}}_{Q}$$
\end{document} is studied. In particular, we concentrate on studying free-homomorphic relations of free-probabilistic sub-structures of 𝕃Q.\documentclass[12pt]{minimal}
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$${\mathbb {L}} _{Q}.$$
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Details
- Title: Subtitle
- Free-Homomorphic Relations Induced by Certain Free Semicircular Families
- Creators
- Ilwoo Cho - Saint Ambrose UniversityPalle Jorgensen - Saint Ambrose University
- Resource Type
- Book chapter
- Publication Details
- Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory, pp.229-285
- Publisher
- Springer International Publishing; Cham
- Series
- Operator Theory: Advances and Applications
- DOI
- 10.1007/978-3-030-44819-6_9
- eISSN
- 2296-4878
- ISSN
- 0255-0156
- Language
- English
- Date published
- 09/19/2020
- Academic Unit
- Mathematics
- Record Identifier
- 9984241051202771
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