Theory of Linear Operations

Author: Stefan Banach,F. Jellett

Publisher: N.A

ISBN: 9780486469836

Category: Mathematics

Page: 237

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Written by the founder of functional analysis, this is the first text on linear operator theory. Additional topics include the calculus of variations and theory of integral equations. 1987 edition.

Theory of Linear Operators in Hilbert Space

Author: N. I. Akhiezer,I. M. Glazman

Publisher: Courier Corporation

ISBN: 0486318656

Category: Mathematics

Page: 378

View: 2186

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This classic textbook by two mathematicians from the USSR's prestigious Kharkov Mathematics Institute introduces linear operators in Hilbert space, and presents in detail the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators. It is directed to students at graduate and advanced undergraduate levels, but because of the exceptional clarity of its theoretical presentation and the inclusion of results obtained by Soviet mathematicians, it should prove invaluable for every mathematician and physicist. 1961, 1963 edition.

Unbounded Linear Operators

Theory and Applications

Author: Seymour Goldberg

Publisher: Courier Corporation

ISBN: 0486453316

Category: Mathematics

Page: 199

View: 877

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This volume presents a systematic treatment of the theory of unbounded linear operators in normed linear spaces with applications to differential equations. Largely self-contained, it is suitable for advanced undergraduates and graduate students, and it only requires a familiarity with metric spaces and real variable theory. After introducing the elementary theory of normed linear spaces--particularly Hilbert space, which is used throughout the book--the author develops the basic theory of unbounded linear operators with normed linear spaces assumed complete, employing operators assumed closed only when needed. Other topics include strictly singular operators; operators with closed range; perturbation theory, including some of the main theorems that are later applied to ordinary differential operators; and the Dirichlet operator, in which the author outlines the interplay between functional analysis and "hard" classical analysis in the study of elliptic partial differential equations. In addition to its readable style, this book's appeal includes numerous examples and motivations for certain definitions and proofs. Moreover, it employs simple notation, eliminating the need to refer to a list of symbols.

Semigroups of Linear Operators and Applications

Second Edition

Author: Jerome A. Goldstein

Publisher: Courier Dover Publications

ISBN: 048681257X

Category: Mathematics

Page: 320

View: 9003

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Advanced graduate-level treatment of semigroup theory explores semigroups of linear operators and linear Cauchy problems. The text features challenging exercises and emphasizes motivation, heuristics, and further applications. 1985 edition.

Spectral Theory of Operators on Hilbert Spaces

Author: Carlos S. Kubrusly

Publisher: Springer Science & Business Media

ISBN: 0817683283

Category: Mathematics

Page: 197

View: 3044

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This work is a concise introduction to spectral theory of Hilbert space operators. Its emphasis is on recent aspects of theory and detailed proofs, with the primary goal of offering a modern introductory textbook for a first graduate course in the subject. The coverage of topics is thorough, as the book explores various delicate points and hidden features often left untreated. Spectral Theory of Operators on Hilbert Spaces is addressed to an interdisciplinary audience of graduate students in mathematics, statistics, economics, engineering, and physics. It will also be useful to working mathematicians using spectral theory of Hilbert space operators, as well as for scientists wishing to apply spectral theory to their field. ​

Introduction to Spectral Theory in Hilbert Space

Author: Gilbert Helmberg

Publisher: Courier Dover Publications

ISBN: 0486466221

Category: Mathematics

Page: 346

View: 9735

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This text introduces students to Hilbert space and bounded self-adjoint operators, as well as the spectrum of an operator and its spectral decomposition. The author, Emeritus Professor of Mathematics at the University of Innsbruck, Austria, has ensured that the treatment is accessible to readers with no further background than a familiarity with analysis and analytic geometry. Starting with a definition of Hilbert space and its geometry, the text explores the general theory of bounded linear operators, the spectral analysis of compact linear operators, and unbounded self-adjoint operators. Extensive appendixes offer supplemental information on the graph of a linear operator and the Riemann-Stieltjes and Lebesgue integration.

Linear Operators for Quantum Mechanics

Author: Thomas F. Jordan

Publisher: Courier Corporation

ISBN: 0486140547

Category: Science

Page: 160

View: 8852

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Suitable for advanced undergraduates and graduate students, this compact treatment examines linear space, functionals, and operators; diagonalizing operators; operator algebras; and equations of motion. 1969 edition.

Linear Algebra

Author: Georgi? Evgen?evich Shilov

Publisher: Courier Corporation

ISBN: 9780486635187

Category: Mathematics

Page: 387

View: 5466

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Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.

Matrices and Linear Algebra

Author: Hans Schneider,George Phillip Barker

Publisher: Courier Corporation

ISBN: 0486139301

Category: Mathematics

Page: 432

View: 5272

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Basic textbook covers theory of matrices and its applications to systems of linear equations and related topics such as determinants, eigenvalues, and differential equations. Includes numerous exercises.

Linear Systems and Operators in Hilbert Space

Author: Paul A. Fuhrmann

Publisher: Courier Corporation

ISBN: 0486782263

Category: Mathematics

Page: 336

View: 6341

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Three-part approach, with notes and references for each section, covers linear algebra and finite dimensional systems, operators in Hilbert space, and linear systems in Hilbert space. 1981 edition.

Mathematics for Operations Research

Author: W. H. Marlow

Publisher: Courier Corporation

ISBN: 0486677230

Category: Mathematics

Page: 483

View: 1486

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Practical and applications-oriented, this text explains effective procedures for performing mathematical tasks that arise in many fields, including operations research, engineering, systems sciences, statistics, and economics. Most of the examples and many of the 1,300 problems illustrate techniques, and nearly all of the tables display reference material for procedures. 1978 edition.

Functional Analysis

Author: Frigyes Riesz,Béla Sz.-Nagy

Publisher: Courier Corporation

ISBN: 0486162141

Category: Mathematics

Page: 528

View: 6869

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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

Banach Spaces of Analytic Functions

Author: Kenneth Hoffman

Publisher: Courier Corporation

ISBN: 048614996X

Category: Mathematics

Page: 224

View: 1505

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This rigorous investigation of Hardy spaces and the invariant subspace problem is suitable for advanced undergraduates and graduates, covering complex functions, harmonic analysis, and functional analysis. 1962 edition.

Linear Operator Theory in Engineering and Science

Author: Arch W. Naylor,George R. Sell

Publisher: Springer Science & Business Media

ISBN: 9780387950013

Category: Mathematics

Page: 624

View: 6727

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This book is a unique introduction to the theory of linear operators on Hilbert space. The authors' goal is to present the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians. Although the Definition-Theorem-Proof format of mathematics is used, careful attention is given to motivation of the material covered and many illustrative examples are presented. First published in 1971, Linear Operator in Engineering and Sciences has since proved to be a popular and very useful textbook.

Linear Algebra and Matrix Theory

Author: Robert R. Stoll

Publisher: Courier Corporation

ISBN: 0486265218

Category: Mathematics

Page: 288

View: 2481

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One of the best available works on matrix theory in the context of modern algebra, this text bridges the gap between ordinary undergraduate studies and completely abstract mathematics. 1952 edition.

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: 8116

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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.

Applied Analysis by the Hilbert Space Method

An Introduction with Applications to the Wave, Heat, and Schrödinger Equations

Author: Samuel S. Holland

Publisher: Courier Corporation

ISBN: 0486139298

Category: Mathematics

Page: 576

View: 6745

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Numerous worked examples and exercises highlight this unified treatment. Simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide. 1990 edition.

Mathematics for Quantum Mechanics

An Introductory Survey of Operators, Eigenvalues, and Linear Vector Spaces

Author: John David Jackson

Publisher: Courier Corporation

ISBN: 048613881X

Category: Science

Page: 112

View: 9478

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This concise text for advanced undergraduates and graduate students covers eigenvalue problems, orthogonal functions and expansions, the Sturm-Liouville theory and linear operators on functions, and linear vector spaces. 1962 edition.

Spectral Theory and Differential Operators

Author: E. Brian Davies,Edward Brian Davies

Publisher: Cambridge University Press

ISBN: 9780521587105

Category: Mathematics

Page: 182

View: 5264

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In this book, Davies introduces the reader to the theory of partial differential operators, up to the spectral theorem for bounded linear operators on Banach spaces. He also describes the theory of Fourier transforms and distributions as far as is needed to analyze the spectrum of any constant coefficient partial differential operator. He also presents a completely new proof of the spectral theorem for unbounded self-adjoint operators and demonstrates its application to a variety of second order elliptic differential operators. Finally, the book contains a detailed account of the application of variational methods to estimate the eigenvalues of operators with measurable coefficients defined by the use of quadratic form techniques. Illustrated with many examples, it is well-suited to graduate-level work.

Theory of Linear Operators in Hilbert Space

Author: Naum Il?ich Akhiezer,Izrail? Markovich Glazman

Publisher: Courier Corporation

ISBN: 0486677486

Category: Mathematics

Page: 218

View: 2164

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This classic textbook introduces linear operators in Hilbert Space, and presents the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators. Invaluable for every mathematician and physicist. 1961, 1963 edition.