Exercises In Functional Analysis
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Exercises In Functional Analysis
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Author : C. Costara
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Exercises In Functional Analysis written by C. Costara and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
This book contains almost 450 exercises, all with complete solutions; it provides supplementary examples, counter-examples, and applications for the basic notions usually presented in an introductory course in Functional Analysis. Three comprehensive sections cover the broad topic of functional analysis. A large number of exercises on the weak topologies is included.
Exercises In Functional Analysis
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Author : Constantin Costara
language : en
Publisher:
Release Date : 2014-01-15
Exercises In Functional Analysis written by Constantin Costara and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Lectures And Exercises On Functional Analysis
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Author : Александр Яковлевич Хелемский
language : en
Publisher: American Mathematical Soc.
Release Date :
Lectures And Exercises On Functional Analysis written by Александр Яковлевич Хелемский and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
The book is based on courses taught by the author at Moscow State University. Compared to many other books on the subject, it is unique in that the exposition is based on extensive use of the language and elementary constructions of category theory. Among topics featured in the book are the theory of Banach and Hilbert tensor products, the theory of distributions and weak topologies, and Borel operator calculus. The book contains many examples illustrating the general theory presented, as well as multiple exercises that help the reader to learn the subject. It can be used as a textbook on selected topics of functional analysis and operator theory. Prerequisites include linear algebra, elements of real analysis, and elements of the theory of metric spaces.
Exercises In Functional Analysis
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Author : Costara
language : en
Publisher:
Release Date : 2009-12-01
Exercises In Functional Analysis written by Costara and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-01 with categories.
Exercises Of Functional Analysis
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Author : Simone Malacrida
language : en
Publisher: BookRix
Release Date : 2023-04-23
Exercises Of Functional Analysis written by Simone Malacrida and has been published by BookRix this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-23 with Mathematics categories.
In this book, exercises are carried out regarding the following mathematical topics: Banach and Hilbert spaces operations in vector spaces Lebesgue measure and integral. Initial theoretical hints are also presented to make the conduct of the exercises understandable.
Lectures And Exercises On Functional Analysis
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Author : Александр Яковлевич Хелемский
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Lectures And Exercises On Functional Analysis written by Александр Яковлевич Хелемский and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
The book is based on courses taught by the author at Moscow State University. Compared to many other books on the subject, it is unique in that the exposition is based on extensive use of the language and elementary constructions of category theory. Among topics featured in the book are the theory of Banach and Hilbert tensor products, the theory of distributions and weak topologies, and Borel operator calculus. The book contains many examples illustrating the general theory presented, as well as multiple exercises that help the reader to learn the subject. It can be used as a textbook on selected topics of functional analysis and operator theory. Prerequisites include linear algebra, elements of real analysis, and elements of the theory of metric spaces.
Exercises In Analysis
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Author : Leszek Gasińksi
language : en
Publisher: Springer
Release Date : 2014-07-26
Exercises In Analysis written by Leszek Gasińksi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-26 with Mathematics categories.
Exercises in Analysis will be published in two volumes. This first volume covers problems in five core topics of mathematical analysis: metric spaces; topological spaces; measure, integration and Martingales; measure and topology and functional analysis. Each of five topics correspond to a different chapter with inclusion of the basic theory and accompanying main definitions and results, followed by suitable comments and remarks for better understanding of the material. At least 170 exercises/problems are presented for each topic, with solutions available at the end of each chapter. The entire collection of exercises offers a balanced and useful picture for the application surrounding each topic. This nearly encyclopedic coverage of exercises in mathematical analysis is the first of its kind and is accessible to a wide readership. Graduate students will find the collection of problems valuable in preparation for their preliminary or qualifying exams as well as for testing their deeper understanding of the material. Exercises are denoted by degree of difficulty. Instructors teaching courses that include one or all of the above-mentioned topics will find the exercises of great help in course preparation. Researchers in analysis may find this Work useful as a summary of analytic theories published in one accessible volume.
Lectures And Exercises On Functional Analysis
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Author :
language : en
Publisher:
Release Date : 2006
Lectures And Exercises On Functional Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Functional analysis categories.
The book is based on courses taught by the author at Moscow State University. Compared to many other books on the subject, it is unique in that the exposition is based on extensive use of the language and elementary constructions of category theory. Among topics featured in the book are the theory of Banach and Hilbert tensor products, the theory of distributions and weak topologies, and Borel operator calculus. The book contains many examples illustrating the general theory presented, as well as multiple exercises that help the reader to learn the subject. It can be used as a textbook on sele.
Lectures And Exercises On Functional Analysis
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Author : Александр Яковлевич Хелемский
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2006
Lectures And Exercises On Functional Analysis written by Александр Яковлевич Хелемский and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Functional analysis categories.
This book contains a unique exposition intended to serve as an introduction to functional analysis. The topics covered include: normed spaces and bounded operators, Banach spaces, polynormed spaces and distributions, compact operators, $C*$ algebra, spectral theorems, Fourier transform, and more. A distinguishing feature of the book is the wide use of the language and elementary constructions of category theory, which are explained in the opening chapter of the book. Among nonstandard topics discussed in the book are the theory of Banach tensor products, basics of quantum functional analysis, and Borel operator calculus. General definitions and main results are supplemented with many examples and exercises. Prerequisites for the main part of the book include standard undergraduate courses in algebra and analysis. It is suitable for graduate students and researchers interested in functional analysis.
Theorems And Problems In Functional Analysis
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Author : A. A. Kirillov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Theorems And Problems In Functional Analysis written by A. A. Kirillov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Even the simplest mathematical abstraction of the phenomena of reality the real line-can be regarded from different points of view by different mathematical disciplines. For example, the algebraic approach to the study of the real line involves describing its properties as a set to whose elements we can apply" operations," and obtaining an algebraic model of it on the basis of these properties, without regard for the topological properties. On the other hand, we can focus on the topology of the real line and construct a formal model of it by singling out its" continuity" as a basis for the model. Analysis regards the line, and the functions on it, in the unity of the whole system of their algebraic and topological properties, with the fundamental deductions about them obtained by using the interplay between the algebraic and topological structures. The same picture is observed at higher stages of abstraction. Algebra studies linear spaces, groups, rings, modules, and so on. Topology studies structures of a different kind on arbitrary sets, structures that give mathe matical meaning to the concepts of a limit, continuity, a neighborhood, and so on. Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on. Thus, the basic object of study in functional analysis consists of objects equipped with compatible algebraic and topological structures.