A Course in Functional Analysis

by John B Conway
A Course in Functional Analysis
Author: John B Conway
Publisher: Springer
Total Pages: 416
Release: 2019-03-09
Genre: Mathematics
ISBN: 1475743831
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This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general. From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author." --MATHEMATICAL REVIEWS

A First Course in Functional Analysis

by Orr Moshe Shalit
A First Course in Functional Analysis
Author: Orr Moshe Shalit
Publisher: CRC Press
Total Pages: 257
Release: 2017-03-16
Genre: Mathematics
ISBN: 1498771629
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Written as a textbook, A First Course in Functional Analysis is an introduction to basic functional analysis and operator theory, with an emphasis on Hilbert space methods. The aim of this book is to introduce the basic notions of functional analysis and operator theory without requiring the student to have taken a course in measure theory as a prerequisite. It is written and structured the way a course would be designed, with an emphasis on clarity and logical development alongside real applications in analysis. The background required for a student taking this course is minimal; basic linear algebra, calculus up to Riemann integration, and some acquaintance with topological and metric spaces.

An Introductory Course in Functional Analysis

by Adam Bowers
An Introductory Course in Functional Analysis
Author: Adam Bowers
Publisher: Springer
Total Pages: 242
Release: 2014-12-11
Genre: Mathematics
ISBN: 1493919458
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Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the Hahn–Banach theorem based on an inf-convolution technique, the proof of Schauder's theorem, and the proof of the Milman–Pettis theorem. With the inclusion of many illustrative examples and exercises, An Introductory Course in Functional Analysis equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.

A First Course in Functional Analysis

by Martin Davis
A First Course in Functional Analysis
Author: Martin Davis
Publisher: Courier Corporation
Total Pages: 129
Release: 2013-05-27
Genre: Mathematics
ISBN: 0486315819
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Designed for undergraduate mathematics majors, this self-contained exposition of Gelfand's proof of Wiener's theorem explores set theoretic preliminaries, normed linear spaces and algebras, functions on Banach spaces, homomorphisms on normed linear spaces, and more. 1966 edition.

A Course in Functional Analysis and Measure Theory

by Vladimir Kadets
A Course in Functional Analysis and Measure Theory
Author: Vladimir Kadets
Publisher: Springer
Total Pages: 553
Release: 2018-07-10
Genre: Mathematics
ISBN: 3319920049
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Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis. Starting from basic topics before proceeding to more advanced material, the book covers measure and integration theory, classical Banach and Hilbert space theory, spectral theory for bounded operators, fixed point theory, Schauder bases, the Riesz-Thorin interpolation theorem for operators, as well as topics in duality and convexity theory. Aimed at advanced undergraduate and graduate students, this book is suitable for both introductory and more advanced courses in functional analysis. Including over 1500 exercises of varying difficulty and various motivational and historical remarks, the book can be used for self-study and alongside lecture courses.

A First Course in Functional Analysis

by Caspar Goffman
A First Course in Functional Analysis
Author: Caspar Goffman
Publisher: American Mathematical Soc.
Total Pages: 297
Release: 2017-02-13
Genre: Mathematics
ISBN: 1470429691
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This second edition includes exercises at the end of each chapter, revised bibliographies, references and an index.

Beginning Functional Analysis

by Karen Saxe
Beginning Functional Analysis
Author: Karen Saxe
Publisher: Springer Science & Business Media
Total Pages: 209
Release: 2013-04-17
Genre: Mathematics
ISBN: 1475736878
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The unifying approach of functional analysis is to view functions as points in abstract vector space and the differential and integral operators as linear transformations on these spaces. The author's goal is to present the basics of functional analysis in a way that makes them comprehensible to a student who has completed courses in linear algebra and real analysis, and to develop the topics in their historical contexts.

Introductory Functional Analysis with Applications

by Erwin Kreyszig
Introductory Functional Analysis with Applications
Author: Erwin Kreyszig
Publisher: John Wiley & Sons
Total Pages: 706
Release: 1991-01-16
Genre: Mathematics
ISBN: 0471504599
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KREYSZIG The Wiley Classics Library consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: Emil Artin Geometnc Algebra R. W. Carter Simple Groups Of Lie Type Richard Courant Differential and Integrai Calculus. Volume I Richard Courant Differential and Integral Calculus. Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics. Volume II Harold M. S. Coxeter Introduction to Modern Geometry. Second Edition Charles W. Curtis, Irving Reiner Representation Theory of Finite Groups and Associative Algebras Nelson Dunford, Jacob T. Schwartz unear Operators. Part One. General Theory Nelson Dunford. Jacob T. Schwartz Linear Operators, Part Two. Spectral Theory—Self Adjant Operators in Hilbert Space Nelson Dunford, Jacob T. Schwartz Linear Operators. Part Three. Spectral Operators Peter Henrici Applied and Computational Complex Analysis. Volume I—Power Senes-lntegrauon-Contormal Mapping-Locatvon of Zeros Peter Hilton, Yet-Chiang Wu A Course in Modern Algebra Harry Hochstadt Integral Equations Erwin Kreyszig Introductory Functional Analysis with Applications P. M. Prenter Splines and Variational Methods C. L. Siegel Topics in Complex Function Theory. Volume I —Elliptic Functions and Uniformizatton Theory C. L. Siegel Topics in Complex Function Theory. Volume II —Automorphic and Abelian Integrals C. L. Siegel Topics In Complex Function Theory. Volume III —Abelian Functions & Modular Functions of Several Variables J. J. Stoker Differential Geometry

A First Course in Functional Analysis

by Rabindranath Sen
A First Course in Functional Analysis
Author: Rabindranath Sen
Publisher: Anthem Press
Total Pages: 486
Release: 2014-11-01
Genre: Mathematics
ISBN: 1783083247
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This book provides the reader with a comprehensive introduction to functional analysis. Topics include normed linear and Hilbert spaces, the Hahn-Banach theorem, the closed graph theorem, the open mapping theorem, linear operator theory, the spectral theory, and a brief introduction to the Lebesgue measure. The book explains the motivation for the development of these theories, and applications that illustrate the theories in action. Applications in optimal control theory, variational problems, wavelet analysis and dynamical systems are also highlighted. ‘A First Course in Functional Analysis’ will serve as a ready reference to students not only of mathematics, but also of allied subjects in applied mathematics, physics, statistics and engineering.