Banach-Space Operators on C*-Probability Spaces Generated by Multi Semicircular Elements
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 â. 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.