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Elsevier Approximation of Continuously Differentiable Functions - Volume 130

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Description

This self-contained mathematics text presents essential results from approximation theory, bridging classical theorems with modern infinite-dimensional analysis. The book extends foundational work by Wells, Aron, Bernstein, and Weierstrass into Banach space settings, offering rigorous treatment of continuously differentiable function approximation across both finite and infinite dimensional spaces. Covering automatic continuity of homomorphisms in algebras of continuously differentiable functions, Nachbin's and Whitney's theorems for infinite dimensional contexts, and related extension results, this volume synthesises a rapidly developing research area. Part of the respected North-Holland Mathematics Studies series, it serves as both a reference for specialists and a comprehensive introduction to approximation theory's modern foundations, combining classical rigor with contemporary mathematical frameworks.

Key Features

Extends Wells' theorem and Aron's theorem for the fine topology of order m in approximation theory.

Presents extensions of Bernstein's and Weierstrass' classical theorems to infinite dimensional Banach spaces.

Covers Nachbin's and Whitney's theorem extended for infinite dimensional Banach space applications.

Examines automatic continuity of homomorphisms in algebras of continuously differentiable functions.

Part of North-Holland Mathematics Studies Volume 130 series, combining classical and contemporary results.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
05 April 2000
Listed Since
15 December 2006

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