Banach-space operators on C*-probability spaces generated by multi semicircular elements. (2022)

• Record Type: Book
• Further Information: Note: Ilwoo Cho.
• Authors: Cho, Ilwoo
• Contents: 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.
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2022
• Extent: 1 online resource
• Subjects: 515.732; Banach spaces; Free probability theory; Operator theory
• Languages: English
• ISBNs: 9781000600711; 9781000600698; 9781003263487
• Related ISBNs: 9781032199016
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; resource not viewed.
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