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Completeness Theorems and Characteristic Matrix Functions = Applications to Integral and Differential Operators /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Completeness Theorems and Characteristic Matrix Functions/ by Marinus A. Kaashoek, Sjoerd M. Verduyn Lunel.
其他題名:	Applications to Integral and Differential Operators /
作者:	Kaashoek, Marinus A.
其他作者:	Verduyn Lunel, Sjoerd M.
面頁冊數:	XVI, 350 p. 2 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Differential Equations. -
電子資源:	https://doi.org/10.1007/978-3-031-04508-0
ISBN:	9783031045080

Completeness Theorems and Characteristic Matrix Functions = Applications to Integral and Differential Operators /
Kaashoek, Marinus A.

Completeness Theorems and Characteristic Matrix FunctionsApplications to Integral and Differential Operators /[electronic resource] :by Marinus A. Kaashoek, Sjoerd M. Verduyn Lunel. - 1st ed. 2022. - XVI, 350 p. 2 illus. in color.online resource. - Operator Theory: Advances and Applications,2882296-4878 ;. - Operator Theory: Advances and Applications,246.

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.

ISBN: 9783031045080

Standard No.: 10.1007/978-3-031-04508-0doiSubjects--Topical Terms:

681826
Differential Equations.

LC Class. No.: QA329-329.9

Dewey Class. No.: 515.724

Completeness Theorems and Characteristic Matrix Functions = Applications to Integral and Differential Operators /
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