Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements
1st Edition
Published on 4. July 2022
Book
Hardback
218 pages
978-1-032-19901-6 (ISBN)
Description
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.
Features
Suitable for graduate students and professional researchers in operator theory and/or analysis
Numerous applications in related scientific fields and areas
Features
Suitable for graduate students and professional researchers in operator theory and/or analysis
Numerous applications in related scientific fields and areas
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 17 mm
Weight
514 gr
ISBN-13
978-1-032-19901-6 (9781032199016)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
E-Book
07/2022
1st Edition
Chapman & Hall/CRC
€225.99
Available for download
E-Book
07/2022
1st Edition
Chapman & Hall/CRC
€225.99
Available for download
Person
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.
Content
1. Introduction. 2. Preliminaries. 3. Joint Free Distributions of Multi Semicircular Elements. 4. A C*-Probability Space of |?|-Many Semicircular Elements. 5. C*-Probability Spaces (?N ; ?N). 6. Adjointable Banach-Space Operators Acting on ?N. 7. Free-Probabilistic Information on ?N Affected by Partial Isometries. 8. Application I. Shift Operators Acting on ??. 9. Application II. The Circular Law. 10. Application III. Free Poisson Distributions. 11. Examples. 12. The Group Dynamical System ?. 13. On the ?-Semicircular *-Probability Space X. 14. Operator-Theoretic Properties on X. Free Probability on ?N = (?N ?C ^N; TN). 16. Operator-Theoretic Properties on ?N.