Multivalued Linear Operators
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Author | : Ronald Cross |
Publisher | : CRC Press |
Total Pages | : 356 |
Release | : 1998-07-09 |
Genre | : Mathematics |
ISBN | : 9780824702199 |
Download Multivalued Linear Operators Book in PDF, Epub and Kindle
Constructs a theoretical framework for the study of linear relations and provides underlying concepts, rules, formulae, theorems and techniques. The book compares the inversion, adjoints, completion and closure of various classes of linear operators. It highlights compact and precompact relations.
Author | : Aymen Ammar |
Publisher | : CRC Press |
Total Pages | : 284 |
Release | : 2021-09-15 |
Genre | : Mathematics |
ISBN | : 1000293130 |
Download Spectral Theory of Multivalued Linear Operators Book in PDF, Epub and Kindle
The concept of multivalued linear operators—or linear relations—is the one of the most exciting and influential fields of research in modern mathematics. Applications of this theory can be found in economic theory, noncooperative games, artificial intelligence, medicine, and more. This new book focuses on the theory of linear relations, responding to the lack of resources exclusively dealing with the spectral theory of multivalued linear operators. The subject of this book is the study of linear relations over real or complex Banach spaces. The main purposes are the definitions and characterization of different kinds of spectra and extending the notions of spectra that are considered for the usual one single-valued operator bounded or not bounded. The volume introduces the theory of pseudospectra of multivalued linear operators. The main topics include demicompact linear relations, essential spectra of linear relation, pseudospectra, and essential pseudospectra of linear relations. The volume will be very useful for researchers since it represents not only a collection of a previously heterogeneous material but is also an innovation through several extensions. Beginning graduate students who wish to enter the field of spectral theory of multivalued linear operators will benefit from the material covered, and expert readers will also find sources of inspiration.
Author | : Aymen Ammar |
Publisher | : CRC Press |
Total Pages | : 314 |
Release | : 2021-09-14 |
Genre | : Mathematics |
ISBN | : 1000293092 |
Download Spectral Theory of Multivalued Linear Operators Book in PDF, Epub and Kindle
The concept of multivalued linear operators—or linear relations—is the one of the most exciting and influential fields of research in modern mathematics. Applications of this theory can be found in economic theory, noncooperative games, artificial intelligence, medicine, and more. This new book focuses on the theory of linear relations, responding to the lack of resources exclusively dealing with the spectral theory of multivalued linear operators. The subject of this book is the study of linear relations over real or complex Banach spaces. The main purposes are the definitions and characterization of different kinds of spectra and extending the notions of spectra that are considered for the usual one single-valued operator bounded or not bounded. The volume introduces the theory of pseudospectra of multivalued linear operators. The main topics include demicompact linear relations, essential spectra of linear relation, pseudospectra, and essential pseudospectra of linear relations. The volume will be very useful for researchers since it represents not only a collection of a previously heterogeneous material but is also an innovation through several extensions. Beginning graduate students who wish to enter the field of spectral theory of multivalued linear operators will benefit from the material covered, and expert readers will also find sources of inspiration.
Author | : R. W. Cross |
Publisher | : |
Total Pages | : 10 |
Release | : 1997 |
Genre | : |
ISBN | : |
Download Note on the Canonical Factorization of a Multivalued Linear Operator Book in PDF, Epub and Kindle
Author | : Valentin K. Ivanov |
Publisher | : Walter de Gruyter |
Total Pages | : 296 |
Release | : 2013-02-18 |
Genre | : Mathematics |
ISBN | : 3110944820 |
Download Theory of Linear Ill-Posed Problems and its Applications Book in PDF, Epub and Kindle
This monograph is a revised and extended version of the Russian edition from 1978. It includes the general theory of linear ill-posed problems concerning e. g. the structure of sets of uniform regularization, the theory of error estimation, and the optimality method. As a distinguishing feature the book considers ill-posed problems not only in Hilbert but also in Banach spaces. It is natural that since the appearance of the first edition considerable progress has been made in the theory of inverse and ill-posed problems as wall as in ist applications. To reflect these accomplishments the authors included additional material e. g. comments to each chapter and a list of monographs with annotations.
Author | : Angelo Favini |
Publisher | : CRC Press |
Total Pages | : 336 |
Release | : 1998-09-10 |
Genre | : Mathematics |
ISBN | : 148227602X |
Download Degenerate Differential Equations in Banach Spaces Book in PDF, Epub and Kindle
This work presents a detailed study of linear abstract degenerate differential equations, using both the semigroups generated by multivalued (linear) operators and extensions of the operational method from Da Prato and Grisvard. The authors describe the recent and original results on PDEs and algebraic-differential equations, and establishes the an
Author | : Joachim Weidmann |
Publisher | : Springer Science & Business Media |
Total Pages | : 413 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461260272 |
Download Linear Operators in Hilbert Spaces Book in PDF, Epub and Kindle
This English edition is almost identical to the German original Lineare Operatoren in Hilbertriiumen, published by B. G. Teubner, Stuttgart in 1976. A few proofs have been simplified, some additional exercises have been included, and a small number of new results has been added (e.g., Theorem 11.11 and Theorem 11.23). In addition a great number of minor errors has been corrected. Frankfurt, January 1980 J. Weidmann vii Preface to the German edition The purpose of this book is to give an introduction to the theory of linear operators on Hilbert spaces and then to proceed to the interesting applica tions of differential operators to mathematical physics. Besides the usual introductory courses common to both mathematicians and physicists, only a fundamental knowledge of complex analysis and of ordinary differential equations is assumed. The most important results of Lebesgue integration theory, to the extent that they are used in this book, are compiled with complete proofs in Appendix A. I hope therefore that students from the fourth semester on will be able to read this book without major difficulty. However, it might also be of some interest and use to the teaching and research mathematician or physicist, since among other things it makes easily accessible several new results of the spectral theory of differential operators.
Author | : Aref Jeribi |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 228 |
Release | : 2021-03-22 |
Genre | : Mathematics |
ISBN | : 3110598191 |
Download Operator Theory Book in PDF, Epub and Kindle
This proceedings volume collects select contributions presented at the International Conference in Operator Theory held at Hammamet, Tunisia, on April 30 May 3, 2018. Edited and refereed by well-known experts in the field, this wide-ranging collection of survey and research articles presents the state of the art in the field of operator theory, covering topics such as operator and spectral theory, fixed point theory, functional analysis etc.
Author | : Atsushi Yagi |
Publisher | : Springer Science & Business Media |
Total Pages | : 594 |
Release | : 2009-11-03 |
Genre | : Mathematics |
ISBN | : 3642046312 |
Download Abstract Parabolic Evolution Equations and their Applications Book in PDF, Epub and Kindle
This monograph is intended to present the fundamentals of the theory of abstract parabolic evolution equations and to show how to apply to various nonlinear dif- sion equations and systems arising in science. The theory gives us a uni?ed and s- tematic treatment for concrete nonlinear diffusion models. Three main approaches are known to the abstract parabolic evolution equations, namely, the semigroup methods, the variational methods, and the methods of using operational equations. In order to keep the volume of the monograph in reasonable length, we will focus on the semigroup methods. For other two approaches, see the related references in Bibliography. The semigroup methods, which go back to the invention of the analytic se- groups in the middle of the last century, are characterized by precise formulas representing the solutions of the Cauchy problem for evolution equations. The ?tA analytic semigroup e generated by a linear operator ?A provides directly a fundamental solution to the Cauchy problem for an autonomous linear e- dU lution equation, +AU =F(t), 0
Author | : Valeri Obukhovskii |
Publisher | : World Scientific |
Total Pages | : 221 |
Release | : 2020-04-04 |
Genre | : Mathematics |
ISBN | : 9811220239 |
Download Multivalued Maps And Differential Inclusions: Elements Of Theory And Applications Book in PDF, Epub and Kindle
The theory of multivalued maps and the theory of differential inclusions are closely connected and intensively developing branches of contemporary mathematics. They have effective and interesting applications in control theory, optimization, calculus of variations, non-smooth and convex analysis, game theory, mathematical economics and in other fields.This book presents a user-friendly and self-contained introduction to both subjects. It is aimed at 'beginners', starting with students of senior courses. The book will be useful both for readers whose interests lie in the sphere of pure mathematics, as well as for those who are involved in applicable aspects of the theory. In Chapter 0, basic definitions and fundamental results in topology are collected. Chapter 1 begins with examples showing how naturally the idea of a multivalued map arises in diverse areas of mathematics, continues with the description of a variety of properties of multivalued maps and finishes with measurable multivalued functions. Chapter 2 is devoted to the theory of fixed points of multivalued maps. The whole of Chapter 3 focuses on the study of differential inclusions and their applications in control theory. The subject of last Chapter 4 is the applications in dynamical systems, game theory, and mathematical economics.The book is completed with the bibliographic commentaries and additions containing the exposition related both to the sections described in the book and to those which left outside its framework. The extensive bibliography (including more than 400 items) leads from basic works to recent studies.