# functional analysis

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**Author** | : George Bachman |

**Publisher** | : Courier Corporation |

**Release Date** | : 2012-09-26 |

**Pages** | : 544 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**Text covers introduction to inner-product spaces, normed, metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach Theorem and its consequences, and many other related subjects. 1966 edition.

**Author** | : Peter D. Lax |

**Publisher** | : John Wiley & Sons |

**Release Date** | : 2014-08-28 |

**Pages** | : 608 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**Includes sections on the spectral resolution and spectralrepresentation of self adjoint operators, invariant subspaces,strongly continuous one-parameter semigroups, the index ofoperators, the trace formula of Lidskii, the Fredholm determinant,and more. * Assumes prior knowledge of Naive set theory, linear algebra,point set topology, basic complex variable, and realvariables. * Includes an appendix on the Riesz representation theorem.

**Author** | : Kösaku Yosida |

**Publisher** | : Springer Science & Business Media |

**Release Date** | : 2012-12-06 |

**Pages** | : 504 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**The present book is based on lectures given by the author at the University of Tokyo during the past ten years. It is intended as a textbook to be studied by students on their own or to be used in a course on Functional Analysis, i. e. , the general theory of linear operators in function spaces together with salient features of its application to diverse fields of modern and classical analysis. Necessary prerequisites for the reading of this book are summarized, with or without proof, in Chapter 0 under titles: Set Theory, Topo logical Spaces, Measure Spaces and Linear Spaces. Then, starting with the chapter on Semi-norms, a general theory of Banach and Hilbert spaces is presented in connection with the theory of generalized functions of S. L. SOBOLEV and L. SCHWARTZ. While the book is primarily addressed to graduate students, it is hoped it might prove useful to research mathe maticians, both pure and applied. The reader may pass, e. g. , from Chapter IX (Analytical Theory of Semi-groups) directly to Chapter XIII (Ergodic Theory and Diffusion Theory) and to Chapter XIV (Integration of the Equation of Evolution). Such materials as "Weak Topologies and Duality in Locally Convex Spaces" and "Nuclear Spaces" are presented in the form of the appendices to Chapter V and Chapter X, respectively. These might be skipped for the first reading by those who are interested rather in the application of linear operators.

**Author** | : John B Conway |

**Publisher** | : Springer |

**Release Date** | : 2010-11-16 |

**Pages** | : 400 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**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

**Author** | : Michael Reed |

**Publisher** | : Academic Press |

**Release Date** | : 1981-02-23 |

**Pages** | : 400 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations.

**Author** | : |

**Publisher** | : Krishna Prakashan Media |

**Release Date** | : 1980 |

**Pages** | : 429 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:** **Author** | : S. Ponnusamy |

**Publisher** | : CRC Press |

**Release Date** | : 2003-01-29 |

**Pages** | : 457 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**Foundations of Functional Analysis provides fundamental concepts about the theory and application of various methods involving functional analysis. Part one covers basic facts of linear algebra and real analysis. Part two is devoted to the theory of normed spaces, Banach spaces, contraction mappings, and linear operators between normed spaces. Part three focuses on Hilbert spaces and the representation of continuous linear functional with some applications. In this self-contained book, all the concepts, results, and their consequences are motivated and illustrated by numerous examples in each chapter with carefully chosen exercises.

**Author** | : Terry J. Morrison |

**Publisher** | : John Wiley & Sons |

**Release Date** | : 2011-10-14 |

**Pages** | : 376 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**A powerful introduction to one of the most active areas oftheoretical and applied mathematics This distinctive introduction to one of the most far-reaching andbeautiful areas of mathematics focuses on Banach spaces as themilieu in which most of the fundamental concepts are presented.While occasionally using the more general topological vector spaceand locally convex space setting, it emphasizes the development ofthe reader's mathematical maturity and the ability to bothunderstand and "do" mathematics. In so doing, Functional Analysisprovides a strong springboard for further exploration on the widerange of topics the book presents, including: * Weak topologies and applications * Operators on Banach spaces * Bases in Banach spaces * Sequences, series, and geometry in Banach spaces Stressing the general techniques underlying the proofs, FunctionalAnalysis also features many exercises for immediate clarificationof points under discussion. This thoughtful, well-organizedsynthesis of the work of those mathematicians who created thediscipline of functional analysis as we know it today also providesa rich source of research topics and reference material.

**Author** | : I. J. Maddox |

**Publisher** | : CUP Archive |

**Release Date** | : 1988 |

**Pages** | : 242 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**This 1970 textbook aims to provide a truly introductory course in functional analysis.

**Author** | : V. Hutson |

**Publisher** | : Elsevier |

**Release Date** | : 2005-02-08 |

**Pages** | : 432 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The present book provides, by careful selection of material, a collection of concepts and techniques essential for the modern practitioner. Emphasis is placed on the solution of equations (including nonlinear and partial differential equations). The assumed background is limited to elementary real variable theory and finite-dimensional vector spaces. Provides an ideal transition between introductory math courses and advanced graduate study in applied mathematics, the physical sciences, or engineering Gives the reader a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant results Introduces each new topic with a clear, concise explanation Includes numerous examples linking fundamental principles with applications Solidifies the reader's understanding with numerous end-of-chapter problems

**Author** | : Joseph Muscat |

**Publisher** | : Springer |

**Release Date** | : 2014-07-23 |

**Pages** | : 420 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathematicians interested in applications, but also to researchers in related fields. Functional Analysis adopts a self-contained approach to Banach spaces and operator theory that covers the main topics, based upon the classical sequence and function spaces and their operators. It assumes only a minimum of knowledge in elementary linear algebra and real analysis; the latter is redone in the light of metric spaces. It contains more than a thousand worked examples and exercises, which make up the main body of the book.

**Author** | : E. Suhubi |

**Publisher** | : Springer Science & Business Media |

**Release Date** | : 2013-03-09 |

**Pages** | : 691 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**Functional Analysis is primarily concerned with the structure of infinite dimensional vector spaces and the transformations, which are frequently called operators, between such spaces. The elements of these vector spaces are usually functions with certain properties, which map one set into another. Functional analysis became one of the success stories of mathematics in the 20th century, in the search for generality and unification.

**Author** | : P. K. Jain |

**Publisher** | : New Age International |

**Release Date** | : 1995 |

**Pages** | : 326 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**The Book Is Intended To Serve As A Textbook For An Introductory Course In Functional Analysis For The Senior Undergraduate And Graduate Students. It Can Also Be Useful For The Senior Students Of Applied Mathematics, Statistics, Operations Research, Engineering And Theoretical Physics. The Text Starts With A Chapter On Preliminaries Discussing Basic Concepts And Results Which Would Be Taken For Granted Later In The Book. This Is Followed By Chapters On Normed And Banach Spaces, Bounded Linear Operators, Bounded Linear Functionals. The Concept And Specific Geometry Of Hilbert Spaces, Functionals And Operators On Hilbert Spaces And Introduction To Spectral Theory. An Appendix Has Been Given On Schauder Bases.The Salient Features Of The Book Are: * Presentation Of The Subject In A Natural Way * Description Of The Concepts With Justification * Clear And Precise Exposition Avoiding Pendantry * Various Examples And Counter Examples * Graded Problems Throughout Each ChapterNotes And Remarks Within The Text Enhances The Utility Of The Book For The Students.

**Author** | : Yurij M. Berezansky |

**Publisher** | : Birkhäuser |

**Release Date** | : 2012-12-06 |

**Pages** | : 426 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**"Functional Analysis" is a comprehensive, 2-volume treatment of a subject lying at the core of modern analysis and mathematical physics. The first volume reviews basic concepts such as the measure, the integral, Banach spaces, bounded operators and generalized functions. Volume II moves on to more advanced topics including unbounded operators, spectral decomposition, expansion in generalized eigenvectors, rigged spaces, and partial differential operators. This text provides students of mathematics and physics with a clear introduction into the above concepts, with the theory well illustrated by a wealth of examples. Researchers will appreciate it as a useful reference manual.

**Author** | : John D. Pryce |

**Publisher** | : Courier Corporation |

**Release Date** | : 2011-10 |

**Pages** | : 320 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**" An introduction to the themes of mathematical analysis, this text is geared toward advanced undergraduate and graduate students. Topics include operators, function spaces, Hilbert spaces, and elementary Fourier analysis. "The author has a delightfully lively style which makes the book very readable, and there are numerous interesting and instructive problems." -- Edinburgh Math Society.1973 edition"--

**Author** | : Frigyes Riesz |

**Publisher** | : Courier Corporation |

**Release Date** | : 2012-12-27 |

**Pages** | : 528 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**DIVClassic exposition of modern theories of differentiation and integration and principal problems and methods of handling integral equations and linear functionals and transformations. 1955 edition. /div

**Author** | : K. Pothoven |

**Publisher** | : Springer Science & Business Media |

**Release Date** | : 2013-12-01 |

**Pages** | : 529 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**This book introduces two most important aspects of modern analysis: the theory of measure and integration and the theory of Banach and Hilbert spaces. It is designed to serve as a text for first-year graduate students who are already familiar with some analysis as given in a book similar to Apostol's Mathematical Analysis. t This book treats in sufficient detail most relevant topics in the area of real and functional analysis that can be included in a book of this nature and size and at the level indicated above. It can serve as a text for a solid one-year course entitled "Measure and Integration Theory" or a com prehensive one-year course entitled "Banach Spaces, Hilbert Spaces, and Spectral Theory. " For the latter alternative, the student is, of course, required to have some knowledge of measure and integration theory. The breadth of the book gives the instructor enough flexibility to choose what is best suited for his/her class. Specifically the following alternatives are available: (a) A one-year course on "Measure and Integration" utilizing Chapters 1 (Sections l. l-1. 3 and 1. 6), 2, 3, 4, portions of 5 (information on Lp spaces), and portions of 7 (left to the discretion of the teacher). (b) A one-year course in "Functional Analysis" utilizing Chapters 1 (Sections 1. 4-1. 6), 5, 6, 7 (Sections 7. 4 and 7. 6), and the Ap pendix. t T. M. Apostol, Mathematical Analysis, 2nd ed. , Addison-Wesley (1974).

**Author** | : Yuli Eidelman |

**Publisher** | : American Mathematical Soc. |

**Release Date** | : 2004 |

**Pages** | : 322 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**The goal of this textbook is to provide an introduction to the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators, and spectral theory of self-adjoint operators. It also presents the basic theorems and methods of abstract functional analysis and a few applications of these methods to Banach algebras and the theory of unbounded self-adjoint operators. The text corresponds to material for two semester courses (Part I and Part II, respectively), and it is as self-contained as possible. The only prerequisites for the first part are minimal amounts of linear algebra and calculus. However, for the second course (Part II), it is useful to have some knowledge of topology and measure theory. Each chapter is followed by numerous exercises, whose solutions are given at the end of the book.

**Author** | : R.E. Edwards |

**Publisher** | : Courier Corporation |

**Release Date** | : 2012-10-25 |

**Pages** | : 800 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**Massive compilation offers detailed, in-depth discussions of vector spaces, Hahn-Banach theorem, fixed-point theorems, duality theory, Krein-Milman theorem, theory of compact operators, much more. Many examples and exercises. 32-page bibliography. 1965 edition.

**Author** | : Kōsaku Yoshida |

**Publisher** | : Springer Science & Business Media |

**Release Date** | : 2013-11-11 |

**Pages** | : 458 |

**ISBN** | : |

**Available Language** | : English, Spanish, And French |

**EBOOK SYNOPSIS:**