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Batkai, Andras.

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Positive operator semigroups = from finite to infinite dimensions /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Positive operator semigroups/ by Andras Batkai, Marjeta Kramar Fijavz, Abdelaziz Rhandi.
Reminder of title:	from finite to infinite dimensions /
Author:	Batkai, Andras.
other author:	Kramar Fijavz, Marjeta.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xviii, 364 p. :ill., digital ;24 cm.
[NT 15003449]:	1 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.
Contained By:	Springer eBooks
Subject:	Semigroups of operators. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-42813-0
ISBN:	9783319428130

Positive operator semigroups = from finite to infinite dimensions /
Batkai, Andras.

Positive operator semigroupsfrom finite to infinite dimensions /[electronic resource] :by Andras Batkai, Marjeta Kramar Fijavz, Abdelaziz Rhandi. - Cham :Springer International Publishing :2017. - xviii, 364 p. :ill., digital ;24 cm. - Operator theory: advances and applications,v.2570255-0156 ;. - Operator theory: advances and applications ;v.257..

1 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.

This 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.

ISBN: 9783319428130

Standard No.: 10.1007/978-3-319-42813-0doiSubjects--Topical Terms:

704465
Semigroups of operators.

LC Class. No.: QA329

Dewey Class. No.: 515.724

Positive operator semigroups = from finite to infinite dimensions /
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100 1 $a Batkai, Andras. $3 3201130
245 1 0 $a Positive operator semigroups $h [electronic resource] : $b from finite to infinite dimensions / $c by Andras Batkai, Marjeta Kramar Fijavz, Abdelaziz Rhandi.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2017.
300 $a xviii, 364 p. : $b ill., digital ; $c 24 cm.
490 1 $a Operator theory: advances and applications, $x 0255-0156 ; $v v.257
505 0 $a 1 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.
520 $a This 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.
650 0 $a Semigroups of operators. $3 704465
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 891082
700 1 $a Kramar Fijavz, Marjeta. $3 3221960
700 1 $a Rhandi, Abdelaziz. $3 3221961
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Operator theory: advances and applications ; $v v.257. $3 3221962
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-42813-0
950 $a Mathematics and Statistics (Springer-11649)