Positive Operator Semigroups : From Finite to Infinite Dimensions
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The work Positive Operator Semigroups : From Finite to Infinite Dimensions represents a distinct intellectual or artistic creation found in European University Institute. This resource is a combination of several types including: Work, Language Material, Books.
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Positive Operator Semigroups : From Finite to Infinite Dimensions
Resource Information
The work Positive Operator Semigroups : From Finite to Infinite Dimensions represents a distinct intellectual or artistic creation found in European University Institute. This resource is a combination of several types including: Work, Language Material, Books.
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 Positive Operator Semigroups : From Finite to Infinite Dimensions
 Title remainder
 From Finite to Infinite Dimensions
 Statement of responsibility
 by András Bátkai, Marjeta Kramar Fijavž, Abdelaziz Rhandi
 Language
 eng
 Summary
 This book gives a gentle but uptodate 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 coordinatefree way is developed, which is difficult to find in literature. This is a good opportunity to present the main ideas of the PerronFrobenius 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 uptodate 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.
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 non fiction
 Nature of contents
 dictionaries
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 Springer eBooks
 Operator Theory: Advances and Applications,
 Series volume
 257
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