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An Introduction to Functional Analysis

Accessible text covering core functional analysis topics in Hilbert and Banach spaces, with detailed proofs and 200 fully-worked exercises.

Author: James C. Robinson

Publisher: Cambridge University Press

ISBN: 0521899648

Category: Mathematics

Page: 432

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Accessible text covering core functional analysis topics in Hilbert and Banach spaces, with detailed proofs and 200 fully-worked exercises.
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Introduction to Functional Analysis

The book is written for students of mathematics and physics who have a basic knowledge of analysis and linear algebra.

Author: Reinhold Meise

Publisher: Clarendon Press

ISBN: 0191590924

Category:

Page: 448

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The book is written for students of mathematics and physics who have a basic knowledge of analysis and linear algebra. It can be used as a textbook for courses and/or seminars in functional analysis. Starting from metric spaces it proceeds quickly to the central results of the field, including the theorem of HahnBanach. The spaces (p Lp (X,(), C(X)' and Sobolov spaces are introduced. A chapter on spectral theory contains the Riesz theory of compact operators, basic facts on Banach and C*-algebras and the spectral representation for bounded normal and unbounded self-adjoint operators in Hilbert spaces. An introduction to locally convex spaces and their duality theory provides the basis for a comprehensive treatment of Fr--eacute--;chet spaces and their duals. In particular recent results on sequences spaces, linear topological invariants and short exact sequences of Fr--eacute--;chet spaces and the splitting of such sequences are presented. These results are not contained in any other book in this field.
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An Introduction to Functional Analysis

This valuable textbook explains the principles and theories of functional analysis and their applications - showing the interplay between the abstract and concrete . Classroom tested by the author in a graduate course , An Introduction ...

Author: Charles Swartz

Publisher: CRC Press

ISBN: 9780824786434

Category: Mathematics

Page: 600

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Based on an introductory, graduate-level course given by Swartz at New Mexico State U., this textbook, written for students with a moderate knowledge of point set topology and integration theory, explains the principles and theories of functional analysis and their applications, showing the interpla
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An Introduction to Functional Analysis in Computational Mathematics

An Introduction V.I. Lebedev. 14. Aubin J. Approximation of Elliptic ... Vulikh B.Z. Introduction to Functional Analysis. ... Lyusternik L.A., Sobolev V.I. Short Course of Functional Analysis M.: Vysshaya shkola, 1982 (in Russian). 24.

Author: V.I. Lebedev

Publisher: Springer Science & Business Media

ISBN: 1461241286

Category: Mathematics

Page: 256

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The book contains the methods and bases of functional analysis that are directly adjacent to the problems of numerical mathematics and its applications; they are what one needs for the understand ing from a general viewpoint of ideas and methods of computational mathematics and of optimization problems for numerical algorithms. Functional analysis in mathematics is now just the small visible part of the iceberg. Its relief and summit were formed under the influence of this author's personal experience and tastes. This edition in English contains some additions and changes as compared to the second edition in Russian; discovered errors and misprints had been corrected again here; to the author's distress, they jump incomprehensibly from one edition to another as fleas. The list of literature is far from being complete; just a number of textbooks and monographs published in Russian have been included. The author is grateful to S. Gerasimova for her help and patience in the complex process of typing the mathematical manuscript while the author corrected, rearranged, supplemented, simplified, general ized, and improved as it seemed to him the book's contents. The author thanks G. Kontarev for the difficult job of translation and V. Klyachin for the excellent figures.
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Introduction to Functional Analysis

Alt, H.W.: Linear Functional Analysis. Universitext. Springer, Berlin (2016). https://doi. org/10.1007/978-1-4471-7280-2 2. Bourbaki, N.: Topological Vector Spaces. Chapters 1–5. Elements of Mathematics (Berlin).

Author: Christian Clason

Publisher: Springer Nature

ISBN: 3030527840

Category: Mathematics

Page: 170

View: 492

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Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing. This textbook offers a compact introduction to the theory and is designed to be used during one semester, fitting exactly 26 lectures of 90 minutes each. It ranges from the topological fundamentals recalled from basic lectures on real analysis to spectral theory in Hilbert spaces. Special attention is given to the central results on dual spaces and weak convergence.
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Introductory Functional Analysis with Applications

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.

Author: Erwin Kreyszig

Publisher: John Wiley & Sons

ISBN: 0471504599

Category: Mathematics

Page: 704

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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
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Functional Analysis

Introduction to Hilbert Space , " Chelsea , New York , 1951 . " Measure Theory , " Van Nostrand , Princeton , N.J. , 1950 . E. Hille and R. Philips , " Functional Analysis and Semigroups , ” Am . Math .

Author: George Bachman

Publisher: Courier Corporation

ISBN: 9780486402512

Category: Mathematics

Page: 532

View: 568

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Excellent treatment of subject geared toward students with background in linear algebra, advanced calculus, physics and engineering. 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. Includes detailed proofs of theorems, bibliography, and index of symbols. 1966 edition.
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Functional Analysis

Based on a third-year course for French students of physics, this book is a graduate text in functional analysis emphasizing applications to physics.

Author: Nino Boccara

Publisher: Elsevier

ISBN: 0080916961

Category: Mathematics

Page: 327

View: 875

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Based on a third-year course for French students of physics, this book is a graduate text in functional analysis emphasizing applications to physics. It introduces Lebesgue integration, Fourier and Laplace transforms, Hilbert space theory, theory of distribution a la Laurent Schwartz, linear operators, and spectral theory. It contains numerous examples and completely worked out exercises.