Semi Groups Of Operators And Approximation

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Semi-Groups of Operators and Approximation

Author : Paul Leo Butzer
Publisher : Springer Science & Business Media
ISBN 13 : 3642460666
Total Pages : 331 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Semi-Groups of Operators and Approximation by : Paul Leo Butzer

Download or read book Semi-Groups of Operators and Approximation written by Paul Leo Butzer and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years important progress has been made in the study of semi-groups of operators from the viewpoint of approximation theory. These advances have primarily been achieved by introducing the theory of intermediate spaces. The applications of the theory not only permit integration of a series of diverse questions from many domains of mathematical analysis but also lead to significant new results on classical approximation theory, on the initial and boundary behavior of solutions of partial differential equations, and on the theory of singular integrals. The aim of this book is to present a systematic treatment of semi groups of bounded linear operators on Banach spaces and their connec tions with approximation theoretical questions in a more classical setting as well as within the setting of the theory of intermediate spaces. However, no attempt is made to present an exhaustive account of the theory of semi-groups of operators per se, which is the central theme of the monumental treatise by HILLE and PHILLIPS (1957). Neither has it been attempted to give an account of the theory of approximation as such. A number of excellent books on various aspects of the latter theory has appeared in recent years, so for example CHENEY (1966), DAVIS (1963), LORENTZ (1966), MEINARDUS (1964), RICE (1964), SARD (1963). By contrast, the present book is primarily concerned with those aspects of semi-group theory that are connected in some way or other with approximation.

Semi-groups of Operators and Approximation [by] Paul L. Butzer [and] Hubert Berens

Author : Paul Leo Butzer
Publisher :
ISBN 13 :
Total Pages : 318 pages
Book Rating : 4.:/5 (977 download)

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Book Synopsis Semi-groups of Operators and Approximation [by] Paul L. Butzer [and] Hubert Berens by : Paul Leo Butzer

Download or read book Semi-groups of Operators and Approximation [by] Paul L. Butzer [and] Hubert Berens written by Paul Leo Butzer and published by . This book was released on 1967 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semigroups of Linear Operators and Applications to Partial Differential Equations

Author : Amnon Pazy
Publisher : Springer Science & Business Media
ISBN 13 : 1461255619
Total Pages : 289 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Semigroups of Linear Operators and Applications to Partial Differential Equations by : Amnon Pazy

Download or read book Semigroups of Linear Operators and Applications to Partial Differential Equations written by Amnon Pazy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential equations. This book presents that theory and its basic applications, and the last two chapters give a connected account of the applications to partial differential equations.

Semi-Groups Of Operators And Approximation

Author : Berens Butzer
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Semi-Groups Of Operators And Approximation by : Berens Butzer

Download or read book Semi-Groups Of Operators And Approximation written by Berens Butzer and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semigroups of Linear Operators and Applications

Author : Jerome A. Goldstein
Publisher : Courier Dover Publications
ISBN 13 : 048681257X
Total Pages : 321 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Semigroups of Linear Operators and Applications by : Jerome A. Goldstein

Download or read book Semigroups of Linear Operators and Applications written by Jerome A. Goldstein and published by Courier Dover Publications. This book was released on 2017-05-17 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced graduate-level treatment of semigroup theory explores semigroups of linear operators and linear Cauchy problems. The text features challenging exercises and emphasizes motivation, heuristics, and further applications. 1985 edition.

A Short Course on Operator Semigroups

Author : Klaus-Jochen Engel
Publisher : Springer Science & Business Media
ISBN 13 : 0387313419
Total Pages : 257 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis A Short Course on Operator Semigroups by : Klaus-Jochen Engel

Download or read book A Short Course on Operator Semigroups written by Klaus-Jochen Engel and published by Springer Science & Business Media. This book was released on 2006-06-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. The book is intended for students and researchers who want to become acquainted with the concept of semigroups.

Theorems of Approximation for Semi-groups of Operators

Author : Harlan Wentworth Loomis
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (265 download)

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Book Synopsis Theorems of Approximation for Semi-groups of Operators by : Harlan Wentworth Loomis

Download or read book Theorems of Approximation for Semi-groups of Operators written by Harlan Wentworth Loomis and published by . This book was released on 1969 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Markov Operators, Positive Semigroups and Approximation Processes

Author : Francesco Altomare
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110386410
Total Pages : 399 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Markov Operators, Positive Semigroups and Approximation Processes by : Francesco Altomare

Download or read book Markov Operators, Positive Semigroups and Approximation Processes written by Francesco Altomare and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-12-18 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph gives a detailed account of a theory which is mainly concerned with certain classes of degenerate differential operators, Markov semigroups and approximation processes. These mathematical objects are generated by arbitrary Markov operators acting on spaces of continuous functions defined on compact convex sets; the study of the interrelations between them constitutes one of the distinguishing features of the book. Among other things, this theory provides useful tools for studying large classes of initial-boundary value evolution problems, the main aim being to obtain a constructive approximation to the associated positive C0-semigroups by means of iterates of suitable positive approximating operators. As a consequence, a qualitative analysis of the solutions to the evolution problems can be efficiently developed. The book is mainly addressed to research mathematicians interested in modern approximation theory by positive linear operators and/or in the theory of positive C0-semigroups of operators and evolution equations. It could also serve as a textbook for a graduate level course.

Nonlinear Semigroups

Author : Isao Miyadera
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886816
Total Pages : 246 pages
Book Rating : 4.8/5 (868 download)

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Book Synopsis Nonlinear Semigroups by : Isao Miyadera

Download or read book Nonlinear Semigroups written by Isao Miyadera and published by American Mathematical Soc.. This book was released on with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic exposition of the general theory of nonlinear contraction semigroups in Banach spaces and is aimed at students and researchers in science and engineering as well as in mathematics. Suitable for use as a textbook in graduate courses and seminars, this self-contained book is accessible to those with only a basic knowledge of functional analysis. After preprequisites presented in the first chapter, Miyadera covers the basic properties of dissipative operators and nonlinear contraction semigroups in Banach spaces. The generation of nonlinear contraction semigroups, the Komura theorem, and the Crandall-Liggett theorem are explored, and there is a treatment of the convergence of difference approximation of Cauchy problems for ????- dissipative operators and the Kobayashi generation theorem of nonlinear semigroups. Nonlinear Semigroups concludes with applications to nonlinear evolution equations and to first order quasilinear equations.

Approximation of Operator Semi-groups

Author : Thomas I. Seidman
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (395 download)

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Book Synopsis Approximation of Operator Semi-groups by : Thomas I. Seidman

Download or read book Approximation of Operator Semi-groups written by Thomas I. Seidman and published by . This book was released on 1967 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semigroups of Operators -Theory and Applications

Author : Jacek Banasiak
Publisher : Springer
ISBN 13 : 3319121456
Total Pages : 338 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Semigroups of Operators -Theory and Applications by : Jacek Banasiak

Download or read book Semigroups of Operators -Theory and Applications written by Jacek Banasiak and published by Springer. This book was released on 2014-11-20 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semi group theory to learn what is happening outside their own field of research. The collection will help to establish a number of new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginning of the 20th century, while the fundamental generation theorem of Hille and Yosida dates back to the forties. The theory was, from the very beginning, designed as a universal language for partial differential equations and stochastic processes, but at the same time it started to live as an independent branch of operator theory. Nowadays, it still has the same distinctive flavour: it develops rapidly by posing new ‘internal’ questions and in answering them, discovering new methods that can be used in applications. On the other hand, it is influenced by questions from PDEs and stochastic processes as well as from applied sciences such as mathematical biology and optimal control, and thus it continually gathers a new momentum. Researchers and postgraduate students working in operator theory, partial differential equations, probability and stochastic processes, analytical methods in biology and other natural sciences, optimization and optimal control will find this volume useful.

Semigroups of Operators: Theory and Applications

Author : A.V. Balakrishnan
Publisher : Birkhäuser
ISBN 13 : 3034884176
Total Pages : 376 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Semigroups of Operators: Theory and Applications by : A.V. Balakrishnan

Download or read book Semigroups of Operators: Theory and Applications written by A.V. Balakrishnan and published by Birkhäuser. This book was released on 2012-12-06 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Proceedings comprise the bulk of the papers presented at the Inter national Conference on Semigroups of Opemtors: Theory and Contro~ held 14-18 December 1998, Newport Beach, California, U.S.A. The intent of the Conference was to highlight recent advances in the the ory of Semigroups of Operators which provides the abstract framework for the time-domain solutions of time-invariant boundary-value/initial-value problems of partial differential equations. There is of course a firewall between the ab stract theory and the applications and one of the Conference aims was to bring together both in the hope that it may be of value to both communities. In these days when all scientific activity is judged by its value on "dot com" it is not surprising that mathematical analysis that holds no promise of an immediate commercial product-line, or even a software tool-box, is not high in research priority. We are particularly pleased therefore that the National Science Foundation provided generous financial support without which this Conference would have been impossible to organize. Our special thanks to Dr. Kishan Baheti, Program Manager.

A Short Course on Operator Semigroups

Author : Klaus-Jochen Engel
Publisher : Springer Science & Business Media
ISBN 13 : 0387366199
Total Pages : 257 pages
Book Rating : 4.3/5 (873 download)

DOWNLOAD NOW!

Book Synopsis A Short Course on Operator Semigroups by : Klaus-Jochen Engel

Download or read book A Short Course on Operator Semigroups written by Klaus-Jochen Engel and published by Springer Science & Business Media. This book was released on 2006-10-14 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. It contains the fundamental results of the theory such as the Hille-Yoshida generation theorem, the bounded perturbation theorem, and the Trotter-Kato approximation theorem. It also treats the spectral theory of semigroups and its consequences for the qualitative behavior. The book is intended for students and researchers who want to become acquainted with the concept of semigroups in order to work with it in fields like partial and functional differential equations. Exercises are provided at the end of the chapters.

Semigroups of Linear Operators

Author : David Applebaum
Publisher : Cambridge University Press
ISBN 13 : 1108623522
Total Pages : 235 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Semigroups of Linear Operators by : David Applebaum

Download or read book Semigroups of Linear Operators written by David Applebaum and published by Cambridge University Press. This book was released on 2019-08-15 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of semigroups of operators is one of the most important themes in modern analysis. Not only does it have great intellectual beauty, but also wide-ranging applications. In this book the author first presents the essential elements of the theory, introducing the notions of semigroup, generator and resolvent, and establishes the key theorems of Hille–Yosida and Lumer–Phillips that give conditions for a linear operator to generate a semigroup. He then presents a mixture of applications and further developments of the theory. This includes a description of how semigroups are used to solve parabolic partial differential equations, applications to Levy and Feller–Markov processes, Koopmanism in relation to dynamical systems, quantum dynamical semigroups, and applications to generalisations of the Riemann–Liouville fractional integral. Along the way the reader encounters several important ideas in modern analysis including Sobolev spaces, pseudo-differential operators and the Nash inequality.

Topics in Operator Semigroups

Author : Shmuel Kantorovitz
Publisher : Springer Science & Business Media
ISBN 13 : 0817649328
Total Pages : 269 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Topics in Operator Semigroups by : Shmuel Kantorovitz

Download or read book Topics in Operator Semigroups written by Shmuel Kantorovitz and published by Springer Science & Business Media. This book was released on 2009-10-22 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is concerned with the interplay between the theory of operator semigroups and spectral theory. The basics on operator semigroups are concisely covered in this self-contained text. Part I deals with the Hille--Yosida and Lumer--Phillips characterizations of semigroup generators, the Trotter--Kato approximation theorem, Kato’s unified treatment of the exponential formula and the Trotter product formula, the Hille--Phillips perturbation theorem, and Stone’s representation of unitary semigroups. Part II explores generalizations of spectral theory’s connection to operator semigroups.

One-parameter Semigroups of Positive Operators

Author : Wolfgang Arendt
Publisher : Springer
ISBN 13 : 3540397914
Total Pages : 468 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis One-parameter Semigroups of Positive Operators by : Wolfgang Arendt

Download or read book One-parameter Semigroups of Positive Operators written by Wolfgang Arendt and published by Springer. This book was released on 2006-11-14 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semigroups of Operators – Theory and Applications

Author : Jacek Banasiak
Publisher : Springer Nature
ISBN 13 : 3030460797
Total Pages : 446 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Semigroups of Operators – Theory and Applications by : Jacek Banasiak

Download or read book Semigroups of Operators – Theory and Applications written by Jacek Banasiak and published by Springer Nature. This book was released on 2020-06-12 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features selected and peer-reviewed lectures presented at the 3rd Semigroups of Operators: Theory and Applications Conference, held in Kazimierz Dolny, Poland, in October 2018 to mark the 85th birthday of Jan Kisyński. Held every five years, the conference offers a forum for mathematicians using semigroup theory to discover what is happening outside their particular field of research and helps establish new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The book is intended for researchers, postgraduate and senior students working in operator theory, partial differential equations, probability and stochastic processes, analytical methods in biology and other natural sciences, optimisation and optimal control. The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginning of the 20th century, while Hille and Yosida’s fundamental generation theorem dates back to the forties. The theory was originally designed as a universal language for partial differential equations and stochastic processes but, at the same time, it started to become an independent branch of operator theory. Today, it still has the same distinctive character: it develops rapidly by posing new ‘internal’ questions and, in answering them, discovering new methods that can be used in applications. On the other hand, it is being influenced by questions from PDE’s and stochastic processes as well as from applied sciences such as mathematical biology and optimal control and, as a result, it continually gathers new momentum. However, many results, both from semigroup theory itself and the applied sciences, are phrased in discipline-specific languages and are hardly known to the broader community.