Banach-space operators on C*-probability spaces generated by multi semicircular elements

書誌事項

Banach-space operators on C*-probability spaces generated by multi semicircular elements

Ilwoo Cho

(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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