Téléchargez le livre : Completeness Theorems and Characteristic Matrix Functions

Completeness Theorems and Characteristic Matrix Functions

Applications to Integral and Differential Operators de

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Éditeur :

Birkhäuser


Collection :

Operator Theory: Advances and Applications

Paru le : 2022-06-13

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Description
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.
Pages
350 pages
Collection
Operator Theory: Advances and Applications
Parution
2022-06-13
Marque
Birkhäuser
EAN papier
9783031045073
EAN PDF
9783031045080
Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
35
Taille du fichier
4342 Ko
Prix
147,69 €
EAN EPUB
9783031045080
Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
35
Taille du fichier
19446 Ko
Prix
147,69 €

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