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Author: Aldo Belleni-Morante
Publisher: Altralinea Edizioni
ISBN: 8894869431
Category : Science
Languages : en
Pages : 96
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Book Description
Aldo Belleni-Morante started to write this book in February 2008 giving two provisional titles: Semigroups and Evaluation Equations in Locally Convex Spaces: An Introduction or Applied Semigroups in Locally Convex Spaces and, he seemed on hurry for finishing it. He decided to share his scientific viewpoint with the Scottish colleagues Prof. Adam C. McBride (AMB) and Dr Wilson Lamb (WL) from the Strathclyde University. He fully desired this collaboration as a consequence of some previous scientific works undertaken since 2006 at the Strathclyde University along his appointment as Permanent Visiting Professor. He also considered the very early conception of this book since 2005 when he spent his latest sabbatical year in Glasgow and further in 2007 when Adam McBride came to Florence to work on this. But not much work was done at that time. To this end, Aldo started happily on his own research work to write the book and he completed his first part in 2008. Unfortunately, the first health problems arisen and this book stayed unfinished.
Author: Aldo Belleni-Morante
Publisher: Altralinea Edizioni
ISBN: 8894869431
Category : Science
Languages : en
Pages : 96
Get Book Here
Book Description
Aldo Belleni-Morante started to write this book in February 2008 giving two provisional titles: Semigroups and Evaluation Equations in Locally Convex Spaces: An Introduction or Applied Semigroups in Locally Convex Spaces and, he seemed on hurry for finishing it. He decided to share his scientific viewpoint with the Scottish colleagues Prof. Adam C. McBride (AMB) and Dr Wilson Lamb (WL) from the Strathclyde University. He fully desired this collaboration as a consequence of some previous scientific works undertaken since 2006 at the Strathclyde University along his appointment as Permanent Visiting Professor. He also considered the very early conception of this book since 2005 when he spent his latest sabbatical year in Glasgow and further in 2007 when Adam McBride came to Florence to work on this. But not much work was done at that time. To this end, Aldo started happily on his own research work to write the book and he completed his first part in 2008. Unfortunately, the first health problems arisen and this book stayed unfinished.
Author: Jerome A. Goldstein
Publisher: Courier Dover Publications
ISBN: 048681257X
Category : Mathematics
Languages : en
Pages : 321
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Book Description
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.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 192
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Book Description
Author: Kosaku Yosida
Publisher: Springer Science & Business Media
ISBN: 3662117916
Category : Mathematics
Languages : en
Pages : 480
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Book Description
Author: Amnon Pazy
Publisher: Springer Science & Business Media
ISBN: 1461255619
Category : Mathematics
Languages : en
Pages : 289
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Book Description
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.
Author: Charalambos D. Aliprantis
Publisher: American Mathematical Soc.
ISBN: 0821834088
Category : Business & Economics
Languages : en
Pages : 360
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Book Description
Riesz space (or a vector lattice) is an ordered vector space that is simultaneously a lattice. A topological Riesz space (also called a locally solid Riesz space) is a Riesz space equipped with a linear topology that has a base consisting of solid sets. Riesz spaces and ordered vector spaces play an important role in analysis and optimization. They also provide the natural framework for any modern theory of integration. This monograph is the revised edition of the authors' bookLocally Solid Riesz Spaces (1978, Academic Press). It presents an extensive and detailed study (with complete proofs) of topological Riesz spaces. The book starts with a comprehensive exposition of the algebraic and lattice properties of Riesz spaces and the basic properties of order bounded operatorsbetween Riesz spaces. Subsequently, it introduces and studies locally solid topologies on Riesz spaces-- the main link between order and topology used in this monograph. Special attention is paid to several continuity properties relating the order and topological structures of Riesz spaces, the most important of which are the Lebesgue and Fatou properties. A new chapter presents some surprising applications of topological Riesz spaces to economics. In particular, it demonstrates that theexistence of economic equilibria and the supportability of optimal allocations by prices in the classical economic models can be proven easily using techniques At the end of each chapter there are exercises that complement and supplement the material in the chapter. The last chapter of the book presentscomplete solutions to all exercises. Prerequisites are the fundamentals of real analysis, measure theory, and functional analysis. This monograph will be useful to researchers and graduate students in mathematics. It will also be an important reference tool to mathematical economists and to all scientists and engineers who use order structures in their research.
Author: C. van den Berg
Publisher: Springer Science & Business Media
ISBN: 146121128X
Category : Mathematics
Languages : en
Pages : 299
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Book Description
The Fourier transform and the Laplace transform of a positive measure share, together with its moment sequence, a positive definiteness property which under certain regularity assumptions is characteristic for such expressions. This is formulated in exact terms in the famous theorems of Bochner, Bernstein-Widder and Hamburger. All three theorems can be viewed as special cases of a general theorem about functions qJ on abelian semigroups with involution (S, +, *) which are positive definite in the sense that the matrix (qJ(sJ + Sk» is positive definite for all finite choices of elements St, . . . , Sn from S. The three basic results mentioned above correspond to (~, +, x* = -x), ([0, 00[, +, x* = x) and (No, +, n* = n). The purpose of this book is to provide a treatment of these positive definite functions on abelian semigroups with involution. In doing so we also discuss related topics such as negative definite functions, completely mono tone functions and Hoeffding-type inequalities. We view these subjects as important ingredients of harmonic analysis on semigroups. It has been our aim, simultaneously, to write a book which can serve as a textbook for an advanced graduate course, because we feel that the notion of positive definiteness is an important and basic notion which occurs in mathematics as often as the notion of a Hilbert space.
Author: Giorgio Fabbri
Publisher: Springer
ISBN: 3319530674
Category : Mathematics
Languages : en
Pages : 928
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Book Description
Providing an introduction to stochastic optimal control in infinite dimension, this book gives a complete account of the theory of second-order HJB equations in infinite-dimensional Hilbert spaces, focusing on its applicability to associated stochastic optimal control problems. It features a general introduction to optimal stochastic control, including basic results (e.g. the dynamic programming principle) with proofs, and provides examples of applications. A complete and up-to-date exposition of the existing theory of viscosity solutions and regular solutions of second-order HJB equations in Hilbert spaces is given, together with an extensive survey of other methods, with a full bibliography. In particular, Chapter 6, written by M. Fuhrman and G. Tessitore, surveys the theory of regular solutions of HJB equations arising in infinite-dimensional stochastic control, via BSDEs. The book is of interest to both pure and applied researchers working in the control theory of stochastic PDEs, and in PDEs in infinite dimension. Readers from other fields who want to learn the basic theory will also find it useful. The prerequisites are: standard functional analysis, the theory of semigroups of operators and its use in the study of PDEs, some knowledge of the dynamic programming approach to stochastic optimal control problems in finite dimension, and the basics of stochastic analysis and stochastic equations in infinite-dimensional spaces.
Author: Karl-Hermann Neeb
Publisher: Walter de Gruyter
ISBN: 3110808145
Category : Mathematics
Languages : en
Pages : 804
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Book Description
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Author: J.B. Cooper
Publisher: Elsevier
ISBN: 0080872506
Category : Mathematics
Languages : en
Pages : 383
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Book Description
The first edition of this monograph appeared in 1978. In view of the progress made in the intervening years, the original text has been revised, several new sections have been added and the list of references has been updated. The book presents a systematic treatment of the theory of Saks Spaces, i.e. vector space with a norm and related, subsidiary locally convex topology. Applications are given to space of bounded, continuous functions, to measure theory, vector measures, spaces of bounded measurable functions, spaces of bounded analytic functions, and to W*-algebras.
