## Elements of Functional Analysis

**Author**: I. J. Maddox

**Publisher:**CUP Archive

**ISBN:**9780521358682

**Category:**Mathematics

**Page:**242

**View:**6967

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This 1970 textbook aims to provide a truly introductory course in functional analysis.

## Elements of the Theory of Functions and Functional Analysis

**Author**: Andre? Nikolaevich Kolmogorov,Serge? Vasil?evich Fomin,S. V. Fomin

**Publisher:**Courier Corporation

**ISBN:**9780486406831

**Category:**Mathematics

**Page:**288

**View:**4075

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Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, more. Exercises. 1957 edition.

## Elements of the Theory of Functions and Functional Analysis

**Author**: A.N. Kolmogorov

**Publisher:**N.A

**ISBN:**N.A

**Category:**

**Page:**N.A

**View:**3999

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## Introduction to Operator Theory I

*Elements of Functional Analysis*

**Author**: A. Brown,C. Pearcy

**Publisher:**Springer Science & Business Media

**ISBN:**1461299268

**Category:**Mathematics

**Page:**476

**View:**9690

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This book was written expressly to serve as a textbook for a one- or two-semester introductory graduate course in functional analysis. Its (soon to be published) companion volume, Operators on Hilbert Space, is in tended to be used as a textbook for a subsequent course in operator theory. In writing these books we have naturally been concerned with the level of preparation of the potential reader, and, roughly speaking, we suppose him to be familiar with the approximate equivalent of a one-semester course in each of the following areas: linear algebra, general topology, complex analysis, and measure theory. Experience has taught us, however, that such a sequence of courses inevitably fails to treat certain topics that are important in the study of functional analysis and operator theory. For example, tensor products are frequently not discussed in a first course in linear algebra. Likewise for the topics of convergence of nets and the Baire category theorem in a course in topology, and the connections between measure and topology in a course in measure theory. For this reason we have chosen to devote the first ten chapters of this volume (entitled Part I) to topics of a preliminary nature. In other words, Part I summarizes in considerable detail what a student should (and eventually must) know in order to study functional analysis and operator theory successfully.

## Lectures and Exercises on Functional Analysis

**Author**: Александр Яковлевич Хелемский

**Publisher:**American Mathematical Soc.

**ISBN:**9780821889695

**Category:**Mathematics

**Page:**468

**View:**3300

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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.

## Elements of Functional Analysis

**Author**: Francis Hirsch,Gilles Lacombe

**Publisher:**Springer Science & Business Media

**ISBN:**9780387985244

**Category:**Mathematics

**Page:**396

**View:**1887

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This book presents the fundamental function spaces and their duals, explores operator theory and finally develops the theory of distributions up to significant applications such as Sobolev spaces and Dirichlet problems. Includes an assortment of well formulated exercises, with answers and hints collected at the end of the book.

## Foundations of Modern Analysis

**Author**: Avner Friedman

**Publisher:**Courier Corporation

**ISBN:**9780486640624

**Category:**Mathematics

**Page:**250

**View:**6257

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Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.

## Elements of Non-linear Functional Analysis

**Author**: Richard A. Graff

**Publisher:**American Mathematical Soc.

**ISBN:**9780821859599

**Category:**

**Page:**196

**View:**9930

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## Курс высшей математики

**Author**: В. И. Смирнов

**Publisher:**Рипол Классик

**ISBN:**5458312368

**Category:**Mathematics

**Page:**472

**View:**8900

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Во второй части четвёртого тома курса высшей математики Смирнов В.И. продолжает изложение. В данном томе изложены общая теория уравнений с частными производными, предельные задачи.Автор писал, что "предполагается выпуск шестого тома с изложением некоторых вопросов современной теории дифференциальных операторов с одной и несколькими независимыми переменными".

## Elements of the Theory of Functions and Functional Analysis

**Author**: A.N. Kolmogorov

**Publisher:**N.A

**ISBN:**N.A

**Category:**

**Page:**N.A

**View:**5690

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## Methods of Functional Analysis for Application in Solid Mechanics

**Author**: J. Mason

**Publisher:**Elsevier

**ISBN:**1483289915

**Category:**Mathematics

**Page:**413

**View:**8570

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Publications oriented to the interests of engineering scientists and graduate students on topics of functional analysis and its applications are rare - this book has been written to fill the gap in the literature. It provides a readable account of basic mathematic topics, with illustrative examples and chapters devoted to finite elements, variational principles of elasticity and plasticity, variational inequalities and elastic stability. The text is entirely self-contained and covers a wide range of topics and ideas, from elementary concepts to modern theories and applications, and includes numerous references. It is written for engineers, graduate students and researchers who need a general knowledge of modern mathematical methods in solid mechanics.

## Functional Analysis

**Author**: A. R. Vasishtha, J. N. Sharma

**Publisher:**Krishna Prakashan Media

**ISBN:**N.A

**Category:**

**Page:**429

**View:**3775

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## Eight papers on functional analysis and partial differential equations

**Author**: V. M. Borok

**Publisher:**American Mathematical Soc.

**ISBN:**9780821896280

**Category:**

**Page:**N.A

**View:**488

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## Functional Analysis I

*Linear Functional Analysis*

**Author**: Yu.I. Lyubich

**Publisher:**Springer Science & Business Media

**ISBN:**9783540505846

**Category:**Mathematics

**Page:**286

**View:**3047

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The twentieth-century view of the analysis of functions is dominated by the study of classes of functions. This volume of the Encyclopaedia covers the origins, development and applications of linear functional analysis, explaining along the way how one is led naturally to the modern approach.