Banach-space operators on C*-probability spaces generated by multi semicircular elements
著者
書誌事項
Banach-space operators on C*-probability spaces generated by multi semicircular elements
（Monographs and research notes in mathematics）
CRC Press, 2022
- : hbk
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注記
"A Chapman & Hall book"
Includes bibliographical references (p. 213-215) and index
内容説明・目次
内容説明
Features
Suitable for graduate students and professional researchers in operator theory and/or analysis
Numerous applications in related scientific fields and areas.
目次
- 1. Introduction. 2. Preliminaries. 3. Joint Free Distributions of Multi Semicircular Elements. 4. A C*-Probability Space of |Z|-Many Semicircular Elements. 5. C*-Probability Spaces ( N
- lN). 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 s. 13. On the s-Semicircular *-Probability Space X. 14. Operator-Theoretic Properties on X. Free Probability on N = ( N C ^N
- TN). 16. Operator-Theoretic Properties on N.
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