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000779750 019__ $$a974455509$$a974553945
000779750 020__ $$a9783319428130$$q(electronic book)
000779750 020__ $$a3319428136$$q(electronic book)
000779750 020__ $$z9783319428116
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000779750 0247_ $$a10.1007/978-3-319-42813-0$$2doi
000779750 035__ $$aSP(OCoLC)ocn973878601
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000779750 1001_ $$aBátkai, András,$$d1972-$$eauthor.
000779750 24510 $$aPositive operator semigroups :$$bfrom finite to infinite dimensions /$$cAndrás Bátkai, Marjeta Kramar Fijavž, Abdelaziz Rhandi.
000779750 264_1 $$aCham, Switzerland :$$bBirkhäser,$$c2017.
000779750 300__ $$a1 online resource (xviii, 364 pages).
000779750 336__ $$atext$$btxt$$2rdacontent
000779750 337__ $$acomputer$$bc$$2rdamedia
000779750 338__ $$aonline resource$$bcr$$2rdacarrier
000779750 4901_ $$aOperator theory: Advances and applications,$$x0255-0156 ;$$vvolume 257
000779750 504__ $$aIncludes bibliographical references and index.
000779750 5050_ $$a1 An Invitation to Positive Matrices -- 2 Functional Calculus -- 3 Powers of Matrices -- 4 Matrix Exponential Function -- 5 Positive Matrices -- 6 Applications of Positive Matrices -- 7 Positive Matrix Semigroups and Applications -- 8 Positive Linear Systems -- 9 Banach Lattices -- 10 Positive Operators -- 11 Operator Semigroups -- 12 Generation Properties -- 13 Spectral Theory for Positive Semigroups I -- 14 Spectral Theory for Positive Semigroups II -- 15 An application to linear transport equations -- Appendices -- Index.
000779750 506__ $$aAccess limited to authorized users.
000779750 520__ $$aThis book gives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications. Positivity is a property which naturally appears in physical, chemical, biological or economic processes. It adds a beautiful and far reaching mathematical structure to the dynamical systems and operators describing these processes. In the first part, the finite dimensional theory in a coordinate-free way is developed, which is difficult to find in literature. This is a good opportunity to present the main ideas of the Perron-Frobenius theory in a way which can be used in the infinite dimensional situation. Applications to graph matrices, age structured population models and economic models are discussed. The infinite dimensional theory of positive operator semigroups with their spectral and asymptotic theory is developed in the second part. Recent applications illustrate the theory, like population equations, neutron transport theory, delay equations or flows in networks. Each chapter is accompanied by a large set of exercises. An up-to-date bibliography and a detailed subject index help the interested reader. The book is intended primarily for graduate and master students. The finite dimensional part, however, can be followed by an advanced bachelor with a solid knowledge of linear algebra and calculus.
000779750 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed February 27, 2017).
000779750 650_0 $$aSemigroups of operators.
000779750 7001_ $$aKramar Fijavž, Marjeta,$$eauthor.
000779750 7001_ $$aRhandi, Abdelaziz,$$eauthor.
000779750 77608 $$iPrint version:$$z331942811X$$z9783319428116$$w(OCoLC)951835340
000779750 830_0 $$aOperator theory, advances and applications ;$$vv. 257.
000779750 852__ $$bebk
000779750 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-42813-0$$zOnline Access$$91397441.1
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