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

Inbunden, Engelska, 2022

Av Ilwoo Cho, Ilwoo (St. Ambrose University) Cho

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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

Utgivningsdatum2022-07-04
Mått156 x 234 x 17 mm
Vikt477 g
FormatInbunden
SpråkEngelska
SerieChapman & Hall/CRC Monographs and Research Notes in Mathematics
Antal sidor218
FörlagTaylor & Francis Ltd
ISBN9781032199016

Tillhör följande kategorier

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.