LEADER 03180nam 22006135 450 001 9910574861903321 005 20251204110804.0 010 $a3-031-04508-4 024 7 $a10.1007/978-3-031-04508-0 035 $a(MiAaPQ)EBC7015863 035 $a(Au-PeEL)EBL7015863 035 $a(CKB)23736966100041 035 $aEBL7015863 035 $a(AU-PeEL)EBL7015863 035 $a(PPN)26915020X 035 $a(BIP)84548784 035 $a(BIP)83659025 035 $a(DE-He213)978-3-031-04508-0 035 $a(EXLCZ)9923736966100041 100 $a20220612d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCompleteness Theorems and Characteristic Matrix Functions $eApplications to Integral and Differential Operators /$fby Marinus A. Kaashoek, Sjoerd M. Verduyn Lunel 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2022. 215 $a1 online resource (358 pages) 225 1 $aOperator Theory: Advances and Applications,$x2296-4878 ;$v288 300 $aDescription based upon print version of record. 311 08$aPrint version: Kaashoek, Marinus A. Completeness Theorems and Characteristic Matrix Functions Cham : Springer International Publishing AG,c2022 9783031045073 320 $aIncludes bibliographical references and index. 330 $aThis monograph presents necessary and sufficient conditions for completeness of the linear span of eigenvectors and generalized eigenvectors of operators that admit a characteristic matrix function in a Banach space setting. Classical conditions for completeness based on the theory of entire functions are further developed for this specific class of operators. The classes of bounded operators that are investigated include trace class and Hilbert-Schmidt operators, finite rank perturbations of Volterra operators, infinite Leslie operators, discrete semi-separable operators, integral operators with semi-separable kernels, and period maps corresponding to delay differential equations. The classes of unbounded operators that are investigated appear in a natural way in the study of infinite dimensional dynamical systems such as mixed type functional differential equations, age-dependent population dynamics, and in the analysis of the Markov semigroup connected to the recently introduced zig-zag process. 410 0$aOperator Theory: Advances and Applications,$x2296-4878 ;$v288 606 $aOperator theory 606 $aDifferential equations 606 $aOperator Theory 606 $aDifferential Equations 615 0$aOperator theory. 615 0$aDifferential equations. 615 14$aOperator Theory. 615 24$aDifferential Equations. 676 $a515.733 676 $a515.7242 700 $aKaashoek$b M. A.$0569753 702 $aVerduyn Lunel$b S. M$g(Sjoerd M.), 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910574861903321 996 $aCompleteness theorems and characteristic Matrix functions$92998656 997 $aUNINA