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Published in:
1986 | OriginalPaper | Chapter
Nonlinear Approximation: The Functional Analytic Approach
Author : Dr. Dietrich Braess
Published in: Nonlinear Approximation Theory
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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In this chapter, existence and uniqueness of nearest points are considered in a general setting in which only properties from functional analysis such as the different kinds of compactness, convexity, and characterizations of best approximation in terms of linear functionals are used. In this framework the influence of uniform convexity, smoothness or non-smoothness of the underlying normed linear space is considered.