书目名称 | Completeness Theorems and Characteristic Matrix Functions |
副标题 | Applications to Inte |
编辑 | Marinus A. Kaashoek,Sjoerd M. Verduyn Lunel |
视频video | |
概述 | A new and self-contained study of linear operators that admit a characteristic matrix function.New completeness theorems for classes of Banach space operators motivated by applications.Comprehensive t |
丛书名称 | Operator Theory: Advances and Applications |
图书封面 |  |
描述 | 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.. |
出版日期 | Book 2022 |
关键词 | Completeness of the Linear Span of Eigenvectors; Characteristic Matrix Function; Trace Class and Hilbe |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-04508-0 |
isbn_softcover | 978-3-031-04510-3 |
isbn_ebook | 978-3-031-04508-0Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
issn_series | 0255-0156 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |