Basic Classes of Linear Operators~tqw~ darksiderg

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  Basic Classes of Linear Operators~tqw~ darksiderg
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  *******************************************************************************<br /> Basic Classes of Linear Operators <br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 11,753,176 bytes<br /> <br /> <br /> <br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> This book provides an introduction to functional analysis with an emphasis on <br /> the theory of linear operators and its application to differential equations, <br /> integral equations, infinite systems of linear equations, approximation theory, <br /> and numerical analysis. As textbook designed for senior undergraduate and <br /> graduate students, it begins with the geometry of Hilbert spaces and proceeds to <br /> the theory of linear operators on these spaces including Banach spaces. <br /> Presented as a natural continuation of linear algebra, the book provides a firm <br /> foundation in operator theory which is an essential part of mathematical <br /> training for students of mathematics, engineering, and other technical sciences.<br /> <br /> Table of Contents<br /> <br /> Preface <br /> Introduction <br /> Ch. I Hilbert Spaces 1<br /> Ch. II Bounded Linear Operators on Hilbert Spaces 51<br /> Ch. III Laurent and Toeplitz Operators on Hilbert Spaces 135<br /> Ch. IV Spectral Theory of Compact Self Adjoint Operators 171<br /> Ch. V Spectral Theory of Integral Operators 193<br /> Ch. VI Unbounded Operators on Hilbert Space 203<br /> Ch. VII Oscillations of an Elastic String 219<br /> Ch. VIII Operational Calculus with Applications 225<br /> Ch. IX Solving Linear Equations by Iterative Methods 237<br /> Ch. X Further Developments of the Spectral Theorem 243<br /> Ch. XI Banach Spaces 259<br /> Ch. XII Linear Operators on a Banach Space 277<br /> Ch. XIII Compact Operators on a Banach Space 299<br /> Ch. XIV Poincare Operators: Determinant and Trace 317<br /> Ch. XV Fredholm Operators 347<br /> Ch. XVI Toeplitz and Singular Integral Operators 361<br /> Ch. XVII Non Linear Operators 401<br /> App. 1 Countable sets and Separable Hilbert Spaces 409<br /> App. 2 The Lebesgue integral and L[subscript p] Spaces 411<br /> Suggested Reading 415<br /> References 417<br /> List of Symbols 419<br /> Index 421<br /> <br /> Product Details<br /> <br /> * ISBN: 3764369302<br /> * ISBN-13: 9783764369309<br /> * Format: Paperback, 423pp<br /> * Publisher: Birkhauser Verlag<br /> * Pub. Date: September 2003<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader
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