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Theory And Applications Of Volterra Operators In Hilbert Space
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Book Synopsis Theory and Applications of Volterra Operators in Hilbert Space by : Israel Gohberg
Download or read book Theory and Applications of Volterra Operators in Hilbert Space written by Israel Gohberg and published by American Mathematical Soc.. This book was released on with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: An abstract Volterra operator is, roughly speaking, a compact operator in a Hilbert space whose spectrum consists of a single point $\lambda=0$. The theory of abstract Volterra operators, significantly developed by the authors of the book and their collaborators, represents an important part of the general theory of non-self-adjoint operators in Hilbert spaces. The book, intended for all mathematicians interested in functional analysis and its applications, discusses the main ideas and results of the theory of abstract Volterra operators. Of particular interest to analysts and specialists in differential equations are the results about analytic models of abstract Volterra operators and applications to boundary value problems for ordinary differential equations.
Book Synopsis Theory and Applications of Volterra Operators in Hilbert Space by : Israel Gohberg
Download or read book Theory and Applications of Volterra Operators in Hilbert Space written by Israel Gohberg and published by . This book was released on 1970 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory and applications of Volterra operators in Hilbert space, by I.C. Gohberg by : I. C. Gohberg
Download or read book Theory and applications of Volterra operators in Hilbert space, by I.C. Gohberg written by I. C. Gohberg and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory and Applications of Volterra Operators in Hilbert Space, By I.C. Gohberg (And) M.G. Krein. (Translated From the Russian by A. Feinstein). by : Izrail' Tsudikovich Gokhberg
Download or read book Theory and Applications of Volterra Operators in Hilbert Space, By I.C. Gohberg (And) M.G. Krein. (Translated From the Russian by A. Feinstein). written by Izrail' Tsudikovich Gokhberg and published by . This book was released on 1970 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory and Applications of Volterra Oerators in Hilbert Space by : Izrail' T'Sudikovich Gokhberg
Download or read book Theory and Applications of Volterra Oerators in Hilbert Space written by Izrail' T'Sudikovich Gokhberg and published by . This book was released on 1970 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of Hilbert Spaces and Operator Theory by : Harkrishan Lal Vasudeva
Download or read book Elements of Hilbert Spaces and Operator Theory written by Harkrishan Lal Vasudeva and published by Springer. This book was released on 2017-03-27 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents an introduction to the geometry of Hilbert spaces and operator theory, targeting graduate and senior undergraduate students of mathematics. Major topics discussed in the book are inner product spaces, linear operators, spectral theory and special classes of operators, and Banach spaces. On vector spaces, the structure of inner product is imposed. After discussing geometry of Hilbert spaces, its applications to diverse branches of mathematics have been studied. Along the way are introduced orthogonal polynomials and their use in Fourier series and approximations. Spectrum of an operator is the key to the understanding of the operator. Properties of the spectrum of different classes of operators, such as normal operators, self-adjoint operators, unitaries, isometries and compact operators have been discussed. A large number of examples of operators, along with their spectrum and its splitting into point spectrum, continuous spectrum, residual spectrum, approximate point spectrum and compression spectrum, have been worked out. Spectral theorems for self-adjoint operators, and normal operators, follow the spectral theorem for compact normal operators. The book also discusses invariant subspaces with special attention to the Volterra operator and unbounded operators. In order to make the text as accessible as possible, motivation for the topics is introduced and a greater amount of explanation than is usually found in standard texts on the subject is provided. The abstract theory in the book is supplemented with concrete examples. It is expected that these features will help the reader get a good grasp of the topics discussed. Hints and solutions to all the problems are collected at the end of the book. Additional features are introduced in the book when it becomes imperative. This spirit is kept alive throughout the book.
Book Synopsis Spectral Theory of Operators in Hilbert Space by : Kurt O. Friedrichs
Download or read book Spectral Theory of Operators in Hilbert Space written by Kurt O. Friedrichs and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present lectures intend to provide an introduction to the spectral analysis of self-adjoint operators within the framework of Hilbert space theory. The guiding notion in this approach is that of spectral representation. At the same time the notion of function of an operator is emphasized. The formal aspects of these concepts are explained in the first two chapters. Only then is the notion of Hilbert space introduced. The following three chapters concern bounded, completely continuous, and non-bounded operators. Next, simple differential operators are treated as operators in Hilbert space, and the final chapter deals with the perturbation of discrete and continuous spectra. The preparation of the original version of these lecture notes was greatly helped by the assistance of P. Rejto. Various valuable suggestions made by him and by R. Lewis have been incorporated. The present version of the notes contains extensive modifica tions, in particular in the chapters on bounded and unbounded operators. February, 1973 K.O.F. PREFACE TO THE SECOND PRINTING The second printing (1980) is a basically unchanged reprint in which a number of minor errors were corrected. The author wishes to thank Klaus Schmidt (Lausanne) and John Sylvester (New York) for their lists of errors. v TABLE OF CONTENTS I. Spectral Representation 1 1. Three typical problems 1 12 2. Linear space and functional representation.
Book Synopsis Application of the Theory of Linear Operators in Hilbert Space to Potential Theory by : E. J. Specht
Download or read book Application of the Theory of Linear Operators in Hilbert Space to Potential Theory written by E. J. Specht and published by . This book was released on 1957 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Volterra Integral Equations by : Hermann Brunner
Download or read book Volterra Integral Equations written by Hermann Brunner and published by Cambridge University Press. This book was released on 2017-01-20 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations (VIEs), ranging from Volterra's fundamental contributions and the resulting classical theory to more recent developments that include Volterra functional integral equations with various kinds of delays, VIEs with highly oscillatory kernels, and VIEs with non-compact operators. It will act as a 'stepping stone' to the literature on the advanced theory of VIEs, bringing the reader to the current state of the art in the theory. Each chapter contains a large number of exercises, extending from routine problems illustrating or complementing the theory to challenging open research problems. The increasingly important role of VIEs in the mathematical modelling of phenomena where memory effects play a key role is illustrated with some 30 concrete examples, and the notes at the end of each chapter feature complementary references as a guide to further reading.
Book Synopsis Teorija Vol'terrovyh Operatorov V Gilbertovom Prostranstve i Ee Prilozenija by :
Download or read book Teorija Vol'terrovyh Operatorov V Gilbertovom Prostranstve i Ee Prilozenija written by and published by . This book was released on 1967 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hilbert Space Operators by : Carlos S. Kubrusly
Download or read book Hilbert Space Operators written by Carlos S. Kubrusly and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained work on Hilbert space operators takes a problem-solving approach to the subject, combining theoretical results with a wide variety of exercises that range from the straightforward to the state-of-the-art. Complete solutions to all problems are provided. The text covers the basics of bounded linear operators on a Hilbert space and gradually progresses to more advanced topics in spectral theory and quasireducible operators. Written in a motivating and rigorous style, the work has few prerequisites beyond elementary functional analysis, and will appeal to graduate students and researchers in mathematics, physics, engineering, and related disciplines.
Book Synopsis Volterra Equations and Applications by : C. Corduneanu
Download or read book Volterra Equations and Applications written by C. Corduneanu and published by CRC Press. This book was released on 2000-01-10 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises selected papers presented at the Volterra Centennial Symposium and is dedicated to Volterra and the contribution of his work to the study of systems - an important concept in modern engineering. Vito Volterra began his study of integral equations at the end of the nineteenth century and this was a significant development in the theory of integral equations and nonlinear functional analysis. Volterra series are of interest and use in pure and applied mathematics and engineering.
Book Synopsis New Results in Operator Theory and Its Applications by : Israel Gohberg
Download or read book New Results in Operator Theory and Its Applications written by Israel Gohberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to the memory of Israel Glazman, an outstanding personality and distinguished mathematician, the author of many remarkable papers and books in operator theory and its applications. The present book opens with an essay devoted to Glazman's life and scientific achievements. It focusses on the areas of his unusually wide interests and consists of 18 mathematical papers in spectral theory of differential operators and linear operators in Hilbert and Banach spaces, analytic operator functions, ordinary and partial differential equations, functional equations, mathematical physics, nonlinear functional analysis, approximation theory and optimization, and mathematical statistics. The book gives a picture of the current state of some important problems in areas of operator theory and its applications and will be of interest to a wide group of researchers working in pure and applied mathematics.
Book Synopsis Volterra Equations and Inverse Problems by : A. L. Bughgeim
Download or read book Volterra Equations and Inverse Problems written by A. L. Bughgeim and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-07-24 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Book Synopsis Hilbert Spaces and Operator Theory by : W. Mlak
Download or read book Hilbert Spaces and Operator Theory written by W. Mlak and published by Springer. This book was released on 1991-11-30 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizing a clear exposition for readers familiar with elementary measure theory and the fundamentals of set theory and general topology, presents the basic notions and methods of the theory of Hilbert spaces, a part of functional analysis being increasingly applied in mathematics and theoretical
Book Synopsis Theory of Linear Operators in Hilbert Space by : Naum Ilʹich Akhiezer
Download or read book Theory of Linear Operators in Hilbert Space written by Naum Ilʹich Akhiezer and published by . This book was released on 1981 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Theory of Self-Adjoint Operators in Hilbert Space by : Michael Sh. Birman
Download or read book Spectral Theory of Self-Adjoint Operators in Hilbert Space written by Michael Sh. Birman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: It isn't that they can't see the solution. It is Approach your problems from the right end that they can't see the problem. and begin with the answers. Then one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be com pletely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order" , which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
