Positive operator semigroups : from finite to infinite dimensions / András Bátkai, Marjeta Kramar Fijavž, Abdelaziz Rhandi.
Bátkai, András, 1972- author.; Kramar Fijavž, Marjeta, author.; Rhandi, Abdelaziz, author.
2017
QA329
Available Online

Linked e-resources

Linked Resource
Online Access
Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks

Details

Title
Positive operator semigroups : from finite to infinite dimensions / András Bátkai, Marjeta Kramar Fijavž, Abdelaziz Rhandi.
Author
Bátkai, András, 1972- author.
ISBN
9783319428130 (electronic book)
3319428136 (electronic book)
9783319428116
331942811X
DOI
https://doi.org/10.1007/978-3-319-42813-0
Published
Cham, Switzerland : Birkhäser, 2017.
Language
English
Description
1 online resource (xviii, 364 pages).
Item Number
10.1007/978-3-319-42813-0 doi
Call Number
QA329
Dewey Decimal Classification
515/.724
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed February 27, 2017).
Added Author
Kramar Fijavž, Marjeta, author.
Rhandi, Abdelaziz, author.
Series
Operator theory, advances and applications ; v. 257.
Available in Other Form
Print version: 9783319428116
Linked Resources
Online Access
Record Appears in
Online Resources > Ebooks
All Resources
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.

Browse Subjects

Show more subjects...

Statistics

from
to
Export