Basic theory of one-parameter semigroups
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Basic theory of one-parameter semigroups by Derek W. Robinson

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Published by Centre for Mathematical Analysis, Australian National University in Canberra .
Written in English

Subjects:

  • Functional analysis,
  • Semigroups

Book details:

Edition Notes

Includes bibliographical references.

StatementDerek W. Robinson.
SeriesProceedings of the Centre for Mathematical Analysis, Australian National University -- v. 2
ContributionsAustralian National University. Centre for Mathematical Analysis.
Classifications
LC ClassificationsQA171 .R585 1982
The Physical Object
Pagination138 p. --
Number of Pages138
ID Numbers
Open LibraryOL18697420M
ISBN 100867842024

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In mathematics, a C 0-semigroup, also known as a strongly continuous one-parameter semigroup, is a generalization of the exponential as exponential functions provide solutions of scalar linear constant coefficient ordinary differential equations, strongly continuous semigroups provide solutions of linear constant coefficient ordinary differential equations in Banach spaces. Description: This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. One-parameter Semigroups of Positive Operators It seems that you're in USA. We have a dedicated site for USA Buy this book eB58 € price for Spain (gross) Basic results on semigroups on banach spaces. Pages Brand: Springer-Verlag Berlin Heidelberg. This book presents a detailed and contemporary account of the classical theory of convergence of semigroups and its more recent development treating the case where the limit semigroup, in contrast to the approximating semigroups, acts merely on a subspace of the original Banach space (this is the case, for example, with singular perturbations).Cited by: 8.

Get this from a library! Lie semigroups and their applications. [Joachim Hilgert; Karl-Hermann Neeb] -- Subsemigroups of finite-dimensional Lie groups that are generated by one-parameter semigroups are the subject of this book. It covers basic Lie theory for such semigroups and some closely related. "This book provides a comprehensive and up-to-date introduction to, and exposition of, the theory of strongly continuous one-parameter semigroups of linear operators and of its applications . The book is clearly written, well organized, provides much information and numerous examples .Cited by: The purpose of this book is to illustrate the richness of the theory of one-parameter semigroups by examining some of its various aspects. It is written in such a way that all three parts can be read more or less independently; it is assumed that the reader is familiar with some of the basic principles of functional analysis. Subsemigroups of finite-dimensional Lie groups that are generated by one-parameter semigroups are the subject of this book. It covers basic Lie theory for such semigroups and some closely related topics. These include ordered homogeneous manifolds, where the order is defined by a field of cones, invariant cones in Lie algebras and associated Ol.

The book is organized as follows. We concentrate our attention on three subjects of semigroup theory: characterization, spectral theory and asymptotic behavior. By characterization, we understand the problem of describing special properties of a semigroup, such as positivity, through the generator. PDF | This chapter is devoted to the general theory of semigroups. These topics form the necessary background for the proof of Theorems and Author: Kazuaki Taira. In this book, non-spectral methods are presented and discussed that have been developed over the last two decades for the investigation of asymptotic behavior of one-parameter operator semigroups in Banach spaces. This concerns in particular Markov semigroups in L 1-spaces. At this point we decided to write a new book, reflecting this situation but based on our personal mathematical taste. Thus, it is a book on semi-groups or, more precisely, on one-parameter semigroups of bounded linear operators. In our view, this .