001447474 000__ 02869cam\a2200481Ii\4500
001447474 001__ 1447474
001447474 003__ OCoLC
001447474 005__ 20230310004119.0
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001447474 020__ $$a9783031045080$$q(electronic bk.)
001447474 020__ $$a3031045084$$q(electronic bk.)
001447474 020__ $$z9783031045073$$q(print)
001447474 0247_ $$a10.1007/978-3-031-04508-0$$2doi
001447474 035__ $$aSP(OCoLC)1329437740
001447474 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dOCLCF$$dOCLCQ
001447474 049__ $$aISEA
001447474 050_4 $$aQA329
001447474 08204 $$a515/.724$$223/eng/20220614
001447474 1001_ $$aKaashoek, M. A.,$$eauthor.
001447474 24510 $$aCompleteness theorems and characteristic Matrix functions :$$bapplications to integral and differential operators /$$cMarinus A. Kaashoek, Sjoerd M. Verduyn Lunel.
001447474 264_1 $$aCham, Switzerland :$$bBirkhäuser,$$c2022.
001447474 300__ $$a1 online resource (xvi, 350 pages) :$$bcolor illustrations.
001447474 336__ $$atext$$btxt$$2rdacontent
001447474 337__ $$acomputer$$bc$$2rdamedia
001447474 338__ $$aonline resource$$bcr$$2rdacarrier
001447474 4901_ $$aOperator theory: Advances and applications,$$x2296-4878 ;$$vvolume 288
001447474 504__ $$aIncludes bibliographical references and index.
001447474 506__ $$aAccess limited to authorized users.
001447474 520__ $$aThis monograph presents necessary and sufficient conditions for completeness of the linear span of eigenvectors and generalized eigenvectors of operators that admit a characteristic matrix function in a Banach space setting. Classical conditions for completeness based on the theory of entire functions are further developed for this specific class of operators. The classes of bounded operators that are investigated include trace class and Hilbert-Schmidt operators, finite rank perturbations of Volterra operators, infinite Leslie operators, discrete semi-separable operators, integral operators with semi-separable kernels, and period maps corresponding to delay differential equations. The classes of unbounded operators that are investigated appear in a natural way in the study of infinite dimensional dynamical systems such as mixed type functional differential equations, age-dependent population dynamics, and in the analysis of the Markov semigroup connected to the recently introduced zig-zag process.
001447474 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed June 14, 2022).
001447474 650_0 $$aOperator theory.
001447474 650_0 $$aHilbert space.
001447474 655_0 $$aElectronic books.
001447474 7001_ $$aVerduyn Lunel, S. M.$$q(Sjoerd M.),$$eauthor.
001447474 830_0 $$aOperator theory, advances and applications ;$$vv. 288.$$x2296-4878
001447474 852__ $$bebk
001447474 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-04508-0$$zOnline Access$$91397441.1
001447474 909CO $$ooai:library.usi.edu:1447474$$pGLOBAL_SET
001447474 980__ $$aBIB
001447474 980__ $$aEBOOK
001447474 982__ $$aEbook
001447474 983__ $$aOnline
001447474 994__ $$a92$$bISE