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

Inbunden, Engelska, 2022

Del i serien Chapman & Hall/CRC Monographs and Research Notes in Mathematics

2 302 kr

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Beskrivning

Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements 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 C∗-probability spaces.FeaturesSuitable for graduate students and professional researchers in operator theory and/or analysisNumerous applications in related scientific fields and areas

Produktinformation

Utgivningsdatum:2022-07-04
Mått:156 x 234 x 17 mm
Vikt:477 g
Format:Inbunden
Språk:Engelska
Serie:Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Antal sidor:218
Förlag:Taylor & Francis Ltd
ISBN:9781032199016

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Mer om författaren

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.

Innehållsförteckning

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 (ЖN ; ɬN). 6. Adjointable Banach-Space Operators Acting on ЖN. 7. Free-Probabilistic Information on ЖN Affected by Partial Isometries. 8. Application I. Shift Operators Acting on Ж∞. 9. Application II. The Circular Law. 10. Application III. Free Poisson Distributions. 11. Examples. 12. The Group Dynamical System ſ. 13. On the ſ-Semicircular *-Probability Space X. 14. Operator-Theoretic Properties on X. Free Probability on ЖN = (ЖN ʘC ^N; TN). 16. Operator-Theoretic Properties on ЖN.