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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Completeness Theorems and Characteristic Matrix Functions: Applications to Integral and Differential Operators

Completeness Theorems and Characteristic Matrix Functions: Applications to Integral and Differential Operators

Kaashoek, Marinus A.
Verduyn Lunel, Sjoerd M.

Hardcover

Series: Operator Theory: Advances and Applications, Book 288

General Mathematics

ISBN10: 3031045076
ISBN13: 9783031045073
Publisher: Birkhauser
Published: Jun 14 2022
Pages: 350
Weight: 1.52
Height: 0.81 Width: 6.14 Depth: 9.21
Language: English
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.

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