Best approximation in inner product spaces

Bibliographic Information

Best approximation in inner product spaces

Frank Deutsch

(CMS books in mathematics, 7)

Springer, c2001

Available at  / 27 libraries

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Note

Includes bibliographical references (p. [315]-330) and index

Description and Table of Contents

Description

This is the first systematic study of best approximation theory in inner product spaces and, in particular, in Hilbert space. Geometric considerations play a prominent role in developing and understanding the theory. The only prerequisites for reading the book is some knowledge of advanced calculus and linear algebra.

Table of Contents

* Inner Product Spaces * Best Approximation * Existence and Uniqueness of Best Approximations * Characterization of Best Approximations * The Metric Projection * Bounded Linear Functionals and Best Approximation from Hyperplanes and Half-spaces * Error of Approximation * Generalized Solutions of Linear Equations * The Method of Alternating Projections * Constrained Interpolation from a Convex Set * Interpolation and Approximation * Convexity of Chebyshev Sets

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