Entropy and Multivariable Interpolation.
Popescu, Gelu.
Entropy and Multivariable Interpolation. - 1st ed. - 1 online resource (98 pages) - Memoirs of the American Mathematical Society ; v.184 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Introduction -- Chapter 1. Operators on Fock Spaces and their Entropy -- 1.1. Entropy and spectral factorization for multi-Toeplitz operators -- 1.2. Operators on Fock spaces and factorizations -- 1.3. Prediction entropy for positive definite multi-Toeplitz kernels on free semigroups -- 1.4. Extreme points of the unit ball of F[sup(∞)][sub(n)] -- Chapter 2. Noncommutative Commutant Lifting Theorem: Geometric Structure and Maximal Entropy Solution -- 2.1. Multivariate intertwining liftings and geometric structure -- 2.2. Central lifting in several variables and geometric characterizations -- 2.3. A maximum principle for the noncommutative commutant lifting theorem -- 2.4. A permanence principle for the central intertwining lifting -- 2.5. Quasi outer spectral factorizations -- 2.6. Noncommutative commutant lifting theorem and the maximal entropy solution -- Chapter 3. Maximal Entropy Interpolation Problems in Several Variables -- 3.1. Maximal entropy solution for the Sarason interpolation problem for analytic Toeplitz algebras -- 3.2. Maximal entropy solution for the Caratheodory-Schur interpolation problem for analytic Toeplitz algebras -- 3.3. Maximal entropy solution for the Nevanlinna-Pick interpolation problem with operatorial argument in several variables -- 3.4. Maximal entropy interpolation on the unit ball of C[sup(n)] -- Bibliography.
9781470404727
Interpolation.
Linear operators.
Maximum entropy method.
Operator theory.
Electronic books.
QA281 -- .P65 2006eb
511/.42
Entropy and Multivariable Interpolation. - 1st ed. - 1 online resource (98 pages) - Memoirs of the American Mathematical Society ; v.184 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Introduction -- Chapter 1. Operators on Fock Spaces and their Entropy -- 1.1. Entropy and spectral factorization for multi-Toeplitz operators -- 1.2. Operators on Fock spaces and factorizations -- 1.3. Prediction entropy for positive definite multi-Toeplitz kernels on free semigroups -- 1.4. Extreme points of the unit ball of F[sup(∞)][sub(n)] -- Chapter 2. Noncommutative Commutant Lifting Theorem: Geometric Structure and Maximal Entropy Solution -- 2.1. Multivariate intertwining liftings and geometric structure -- 2.2. Central lifting in several variables and geometric characterizations -- 2.3. A maximum principle for the noncommutative commutant lifting theorem -- 2.4. A permanence principle for the central intertwining lifting -- 2.5. Quasi outer spectral factorizations -- 2.6. Noncommutative commutant lifting theorem and the maximal entropy solution -- Chapter 3. Maximal Entropy Interpolation Problems in Several Variables -- 3.1. Maximal entropy solution for the Sarason interpolation problem for analytic Toeplitz algebras -- 3.2. Maximal entropy solution for the Caratheodory-Schur interpolation problem for analytic Toeplitz algebras -- 3.3. Maximal entropy solution for the Nevanlinna-Pick interpolation problem with operatorial argument in several variables -- 3.4. Maximal entropy interpolation on the unit ball of C[sup(n)] -- Bibliography.
9781470404727
Interpolation.
Linear operators.
Maximum entropy method.
Operator theory.
Electronic books.
QA281 -- .P65 2006eb
511/.42