Operator Analysis
-10%
portes grátis
Operator Analysis
Hilbert Space Methods in Complex Analysis
McCarthy, John Edward; Agler, Jim; Young, Nicholas John
Cambridge University Press
03/2020
388
Dura
Inglês
9781108485449
15 a 20 dias
660
Descrição não disponível.
Part I. Commutative Theory: 1. The origins of operator-theoretic approaches to function theory; 2. Operator analysis on D: model formulas, lurking Isometries, and positivity arguments; 3. Further development of models on the disc; 4. Operator analysis on D2; 5. Caratheodory-Julia theory on the disc and the bidisc; 6. Herglotz and Nevanlinna representations in several variables; 7. Model theory on the symmetrized bidisc; 8. Spectral sets: three case studies; 9. Calcular norms; 10. Operator monotone functions; Part II. Non-Commutative Theory: 11. Motivation for non-commutative functions; 12. Basic properties of non-commutative functions; 13. Montel theorems; 14. Free holomorphic functions; 15. The implicit function theorem; 16. Noncommutative functional calculus; Notation.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Functional calculus; spectral set; von Neumanns inequality; Andos inequality; model formula; lurking isometry; network realization formula; positivity argument; functional calculus; hereditary functions; Nevanlinna-Pick interpolation; Caratheodory-Julia theorem; B-points; C-points; Herglotz representation on bidisc; Nevanlinna representations on bi-upper half plane; symmetrized bidisc; spectral Nevanlinna-Pick problem; Lemperts theorem; distinguished variety; Oka extension theorem; Loewners theorem; duality in linear programming; locally matrix monotone functions; non-commutative functions; free realizations; non-commutative implicit function theorem
Part I. Commutative Theory: 1. The origins of operator-theoretic approaches to function theory; 2. Operator analysis on D: model formulas, lurking Isometries, and positivity arguments; 3. Further development of models on the disc; 4. Operator analysis on D2; 5. Caratheodory-Julia theory on the disc and the bidisc; 6. Herglotz and Nevanlinna representations in several variables; 7. Model theory on the symmetrized bidisc; 8. Spectral sets: three case studies; 9. Calcular norms; 10. Operator monotone functions; Part II. Non-Commutative Theory: 11. Motivation for non-commutative functions; 12. Basic properties of non-commutative functions; 13. Montel theorems; 14. Free holomorphic functions; 15. The implicit function theorem; 16. Noncommutative functional calculus; Notation.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Functional calculus; spectral set; von Neumanns inequality; Andos inequality; model formula; lurking isometry; network realization formula; positivity argument; functional calculus; hereditary functions; Nevanlinna-Pick interpolation; Caratheodory-Julia theorem; B-points; C-points; Herglotz representation on bidisc; Nevanlinna representations on bi-upper half plane; symmetrized bidisc; spectral Nevanlinna-Pick problem; Lemperts theorem; distinguished variety; Oka extension theorem; Loewners theorem; duality in linear programming; locally matrix monotone functions; non-commutative functions; free realizations; non-commutative implicit function theorem
