Entropy and multivariable interpolation:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
2006
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
868 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 184, number 868 (end of volume)." Includes bibliographical references |
| Beschreibung: | VI, 83 S. |
| ISBN: | 0821839128 9780821839126 |
Internformat
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| 245 | 1 | 0 | |a Entropy and multivariable interpolation |c Gelu Popescu |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2006 | |
| 300 | |a VI, 83 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v 868 | |
| 500 | |a "Volume 184, number 868 (end of volume)." | ||
| 500 | |a Includes bibliographical references | ||
| 650 | 7 | |a Entropia (matemática aplicada) |2 larpcal | |
| 650 | 4 | |a Entropie maximale, Méthode d' | |
| 650 | 7 | |a Entropie |2 gtt | |
| 650 | 7 | |a Interpolatie |2 gtt | |
| 650 | 4 | |a Interpolation | |
| 650 | 7 | |a Interpolação (análise funcional) |2 larpcal | |
| 650 | 7 | |a Multivariate analyse |2 gtt | |
| 650 | 7 | |a Operadores lineares |2 larpcal | |
| 650 | 7 | |a Operatortheorie |2 gtt | |
| 650 | 4 | |a Opérateurs linéaires | |
| 650 | 4 | |a Opérateurs, Théorie des | |
| 650 | 4 | |a Interpolation | |
| 650 | 4 | |a Linear operators | |
| 650 | 4 | |a Maximum entropy method | |
| 650 | 4 | |a Operator theory | |
| 830 | 0 | |a Memoirs of the American Mathematical Society |v 868 |w (DE-604)BV008000141 |9 868 | |
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Datensatz im Suchindex
| _version_ | 1804135770568523776 |
|---|---|
| adam_text | Contents
Introduction 1
Chapter 1. Operators on Fock Spaces and their Entropy 7
1.1. Entropy and spectral factorization for multi Toeplitz operators 7
1.2. Operators on Fock spaces and factorizations 16
1.3. Prediction entropy for positive definite multi Toeplitz kernels on free
semigroups 20
1.4. Extreme points of the unit ball of F£° 25
Chapter 2. Noncommutative Commutant Lifting Theorem: Geometric
Structure and Maximal Entropy Solution 29
2.1. Multivariable intertwining liftings and geometric structure 29
2.2. Central lifting in several variables and geometric characterizations 37
2.3. A maximum principle for the noncommutative commutant lifting
theorem 43
2.4. A permanence principle for the central intertwining lifting 47
2.5. Quasi outer spectral factorizations 48
2.6. Noncommutative commutant lifting theorem and the maximal entropy
solution 54
Chapter 3. Maximal Entropy Interpolation Problems in Several Variables 61
3.1. Maximal entropy solution for the Sarason interpolation problem for
analytic Toeplitz algebras 61
3.2. Maximal entropy solution for the Caratheodory Schur interpolation
problem for analytic Toeplitz algebras 67
3.3. Maximal entropy solution for the Nevanlinna Pick interpolation
problem with operatorial argument in several variables 69
3.4. Maximal entropy interpolation on the unit ball of Cn 75
Bibliography 81
V
|
| adam_txt |
Contents
Introduction 1
Chapter 1. Operators on Fock Spaces and their Entropy 7
1.1. Entropy and spectral factorization for multi Toeplitz operators 7
1.2. Operators on Fock spaces and factorizations 16
1.3. Prediction entropy for positive definite multi Toeplitz kernels on free
semigroups 20
1.4. Extreme points of the unit ball of F£° 25
Chapter 2. Noncommutative Commutant Lifting Theorem: Geometric
Structure and Maximal Entropy Solution 29
2.1. Multivariable intertwining liftings and geometric structure 29
2.2. Central lifting in several variables and geometric characterizations 37
2.3. A maximum principle for the noncommutative commutant lifting
theorem 43
2.4. A permanence principle for the central intertwining lifting 47
2.5. Quasi outer spectral factorizations 48
2.6. Noncommutative commutant lifting theorem and the maximal entropy
solution 54
Chapter 3. Maximal Entropy Interpolation Problems in Several Variables 61
3.1. Maximal entropy solution for the Sarason interpolation problem for
analytic Toeplitz algebras 61
3.2. Maximal entropy solution for the Caratheodory Schur interpolation
problem for analytic Toeplitz algebras 67
3.3. Maximal entropy solution for the Nevanlinna Pick interpolation
problem with operatorial argument in several variables 69
3.4. Maximal entropy interpolation on the unit ball of Cn 75
Bibliography 81
V |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T15:59:14Z |
| indexdate | 2024-07-09T20:45:47Z |
| institution | BVB |
| isbn | 0821839128 9780821839126 |
| language | English |
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| publisher | American Mathematical Society |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Popescu, Gelu 1958- Verfasser (DE-588)138608253 aut Entropy and multivariable interpolation Gelu Popescu Providence, R.I. American Mathematical Society 2006 VI, 83 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 868 "Volume 184, number 868 (end of volume)." Includes bibliographical references Entropia (matemática aplicada) larpcal Entropie maximale, Méthode d' Entropie gtt Interpolatie gtt Interpolation Interpolação (análise funcional) larpcal Multivariate analyse gtt Operadores lineares larpcal Operatortheorie gtt Opérateurs linéaires Opérateurs, Théorie des Linear operators Maximum entropy method Operator theory Memoirs of the American Mathematical Society 868 (DE-604)BV008000141 868 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015049515&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Popescu, Gelu 1958- Entropy and multivariable interpolation Memoirs of the American Mathematical Society Entropia (matemática aplicada) larpcal Entropie maximale, Méthode d' Entropie gtt Interpolatie gtt Interpolation Interpolação (análise funcional) larpcal Multivariate analyse gtt Operadores lineares larpcal Operatortheorie gtt Opérateurs linéaires Opérateurs, Théorie des Linear operators Maximum entropy method Operator theory |
| title | Entropy and multivariable interpolation |
| title_auth | Entropy and multivariable interpolation |
| title_exact_search | Entropy and multivariable interpolation |
| title_exact_search_txtP | Entropy and multivariable interpolation |
| title_full | Entropy and multivariable interpolation Gelu Popescu |
| title_fullStr | Entropy and multivariable interpolation Gelu Popescu |
| title_full_unstemmed | Entropy and multivariable interpolation Gelu Popescu |
| title_short | Entropy and multivariable interpolation |
| title_sort | entropy and multivariable interpolation |
| topic | Entropia (matemática aplicada) larpcal Entropie maximale, Méthode d' Entropie gtt Interpolatie gtt Interpolation Interpolação (análise funcional) larpcal Multivariate analyse gtt Operadores lineares larpcal Operatortheorie gtt Opérateurs linéaires Opérateurs, Théorie des Linear operators Maximum entropy method Operator theory |
| topic_facet | Entropia (matemática aplicada) Entropie maximale, Méthode d' Entropie Interpolatie Interpolation Interpolação (análise funcional) Multivariate analyse Operadores lineares Operatortheorie Opérateurs linéaires Opérateurs, Théorie des Linear operators Maximum entropy method Operator theory |
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