{"product_id":"completeness-theorems-and-characteristic-matrix-functions-applications-to-integral-and-differential-operators-9783031045103","title":"Completeness Theorems and Characteristic Matrix Functions: Applications to Integral and Differential Operators","description":"\u003cp\u003e\u003c\/p\u003e\u003cblockquote\u003e\n\u003cbr\u003eThe monograph presents necessary and sufficient conditions for completeness of the linear span of eigenvectors and generalized eigenvectors of operators in Banach spaces, including 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. \u003c\/blockquote\u003e\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Paperback \/ softback\u003cbr\u003e\u003cstrong\u003eLength\u003c\/strong\u003e: 350 pages\u003cbr\u003e\u003cstrong\u003ePublication date\u003c\/strong\u003e: 15 June 2023\u003cbr\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Birkhauser Verlag AG\u003cbr\u003e\u003c\/p\u003e \u003cp\u003e\u003cbr\u003eHere is the provided text rewritten in 130% to 150% more words and arranged in paragraphs with HTML tags:\u003cbr\u003e\u003cbr\u003e\u003c\/p\u003e\u003ch1\u003eCompleteness of Linear Span of Eigenvectors and Generalized Eigenvectors in Banach Spaces\u003c\/h1\u003e\u003cbr\u003e\u003cp\u003eThis 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.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003cstrong\u003eDimension\u003c\/strong\u003e: 235 x 155 (mm)\u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9783031045103\u003cbr\u003e \u003cstrong\u003eEdition number\u003c\/strong\u003e: 1st ed. 2022\u003c\/p\u003e","brand":"Marinus A. Kaashoek,Sjoerd M. Verduyn Lunel","offers":[{"title":"Paperback \/ softback","offer_id":45811768099066,"sku":"9783031045103","price":99.95,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/files\/1714155930938_book.jpg?v=1714332100","url":"https:\/\/shulphink.com\/products\/completeness-theorems-and-characteristic-matrix-functions-applications-to-integral-and-differential-operators-9783031045103","provider":"Shulph Ink","version":"1.0","type":"link"}