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Banach-Space Operators On C_-Probability Spaces Generated by Multi Semicircular Elements

BuchGebunden
228 Seiten
Englisch
Taylor & Franciserschienen am04.07.2022
This book introduces new areas in operator theory and operator algebra, in connection with free probability theory. In particular, the book considers projections and partial isometries distorting original free-distributional data on the Câ-probability spaces.mehr
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BuchGebunden
EUR207,50
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Produkt

KlappentextThis book introduces new areas in operator theory and operator algebra, in connection with free probability theory. In particular, the book considers projections and partial isometries distorting original free-distributional data on the Câ-probability spaces.
Details
ISBN/GTIN978-1-032-19901-6
ProduktartBuch
EinbandartGebunden
Erscheinungsjahr2022
Erscheinungsdatum04.07.2022
Seiten228 Seiten
SpracheEnglisch
Gewicht471 g
Artikel-Nr.58730318

Inhalt/Kritik

Inhaltsverzeichnis
1. Introduction. 2. Preliminaries. 3. Joint Free Distributions of Multi Semicircular Elements. 4. A C*-Probability Space of |Ƶ|-Many Semicircular Elements. 5. C*-Probability Spaces (ÐN ; ɬN). 6. Adjointable Banach-Space Operators Acting on ÐN. 7. Free-Probabilistic Information on ÐN Affected by Partial Isometries. 8. Application I. Shift Operators Acting on Ðâ. 9. Application II. The Circular Law. 10. Application III. Free Poisson Distributions. 11. Examples. 12. The Group Dynamical System Å¿. 13. On the Å¿-Semicircular *-Probability Space X. 14. Operator-Theoretic Properties on X. Free Probability on ÐN = (ÐN ÊC ^N; TN). 16. Operator-Theoretic Properties on ÐN.mehr

Autor

Ilwoo Cho is currently professor at St. Ambrose University, Iowa. Dr Cho earned his PhD in Mathematics from University of Iowa in 2005 and his master's degree from Sungkyunkwan University in 1999. Dr Cho's research interests include free probability, operator algebra and theory, combinatorics, and groupoid dynamical systems.