Ordered Cones and Approximation: 1517 - Brossura

Keimel, Klaus

 
9783540554455: Ordered Cones and Approximation: 1517

Sinossi

This book presents a unified approach to Korovkin-typeapproximation theorems. It includes classical material onthe approximation of real-valuedfunctions as well as recentand new results on set-valued functions and stochasticprocesses, and on weighted approximation. The results arenotonly of qualitative nature, but include quantitativebounds on the order of approximation.The book is addressed to researchers in functional analysisand approximation theory as well as to those that want toapplythese methods in other fields. It is largely self-contained, but the readershould have a solid background inabstract functional analysis.The unified approach is based on a new notion of locallyconvex ordered cones that are not embeddable in vectorspaces but allow Hahn-Banach type separation and extensiontheorems. This concept seems to be of independent interest.

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Contenuti

Locally convex cones.- Uniformly continuous operators and the dual cone.- Subcones.- Approximation.- Nachbin cones.- Quantitative estimates.

Product Description

Book by Keimel Klaus Roth Walter

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9780387554457: Ordered Cones and Approximation

Edizione in evidenza

ISBN 10:  0387554459 ISBN 13:  9780387554457
Brossura