Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements
portes grátis
Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements
Cho, Ilwoo
Taylor & Francis Ltd
07/2022
218
Dura
Inglês
9781032199016
15 a 20 dias
471
Descrição não disponível.
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 ??. 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.
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Functional analysis;operator theory;probability;metric spaces;applied mathematics;Holds;Partial Isometries;Algebra;Free Probability;Shift Operator;Free Distributions;Group Dynamical System;Probability Space;Usual Tensor Product;Tensor Product;Noncrossing Partition;Circular Law;Crossed Product Algebras;Main;Tensor Factors;Circular Element;Banach Algebra;Von Neumann Algebra;Kronecker Delta;Automorphism Group Aut;Isometries;Mutually Free;Structure Theorem;Self-adjoint Operator
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 ??. 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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Functional analysis;operator theory;probability;metric spaces;applied mathematics;Holds;Partial Isometries;Algebra;Free Probability;Shift Operator;Free Distributions;Group Dynamical System;Probability Space;Usual Tensor Product;Tensor Product;Noncrossing Partition;Circular Law;Crossed Product Algebras;Main;Tensor Factors;Circular Element;Banach Algebra;Von Neumann Algebra;Kronecker Delta;Automorphism Group Aut;Isometries;Mutually Free;Structure Theorem;Self-adjoint Operator
