Completeness Theorems and Characteristic Matrix Functions

Completeness Theorems and Characteristic Matrix Functions
Author :
Publisher :
Total Pages : 0
Release :
ISBN-10 : 3031045092
ISBN-13 : 9783031045097
Rating : 4/5 (097 Downloads)

Book Synopsis Completeness Theorems and Characteristic Matrix Functions by : Marinus A. Kaashoek

Download or read book Completeness Theorems and Characteristic Matrix Functions written by Marinus A. Kaashoek and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents necessary and sufficient conditions for completeness of the linear span of eigenvectors and generalized eigenvectors of operators that admit a characteristic matrix function in a Banach space setting. Classical conditions for completeness based on the theory of entire functions are further developed for this specific class of operators. The classes of bounded operators that are investigated include trace class and Hilbert-Schmidt operators, finite rank perturbations of Volterra operators, infinite Leslie operators, discrete semi-separable operators, integral operators with semi-separable kernels, and period maps corresponding to delay differential equations. The classes of unbounded operators that are investigated appear in a natural way in the study of infinite dimensional dynamical systems such as mixed type functional differential equations, age-dependent population dynamics, and in the analysis of the Markov semigroup connected to the recently introduced zig-zag process.


Completeness Theorems and Characteristic Matrix Functions Related Books

Completeness Theorems and Characteristic Matrix Functions
Language: en
Pages: 0
Authors: Marinus A. Kaashoek
Categories:
Type: BOOK - Published: 2022 - Publisher:

GET EBOOK

This monograph presents necessary and sufficient conditions for completeness of the linear span of eigenvectors and generalized eigenvectors of operators that a
Completeness Theorems and Characteristic Matrix Functions
Language: en
Pages: 358
Authors: Marinus A. Kaashoek
Categories: Mathematics
Type: BOOK - Published: 2022-06-13 - Publisher: Springer Nature

GET EBOOK

This monograph presents necessary and sufficient conditions for completeness of the linear span of eigenvectors and generalized eigenvectors of operators that a
Differential Equations with Operator Coefficients
Language: en
Pages: 449
Authors: Vladimir Kozlov
Categories: Mathematics
Type: BOOK - Published: 2013-04-18 - Publisher: Springer Science & Business Media

GET EBOOK

The first systematic, self-contained presentation of a theory of arbitrary order ODEs with unbounded operator coefficients in a Hilbert or Banach space. Develop
Linear Operators, Part 2
Language: en
Pages: 1092
Authors: Nelson Dunford
Categories: Mathematics
Type: BOOK - Published: 1988-02-23 - Publisher: John Wiley & Sons

GET EBOOK

This classic text, written by two notable mathematicians, constitutes a comprehensive survey of the general theory of linear operations, together with applicati
Linear Operators, Part 1
Language: en
Pages: 870
Authors: Nelson Dunford
Categories: Mathematics
Type: BOOK - Published: 1988-02-23 - Publisher: John Wiley & Sons

GET EBOOK

This classic text, written by two notable mathematicians, constitutes a comprehensive survey of the general theory of linear operations, together with applicati