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Ordered Cones and Approximation / by Klaus Keimel, Walter Roth
(Lecture Notes in Mathematics. ISSN:16179692 ; 1517)

1st ed. 1992.
出版者 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年 1992
本文言語 英語
大きさ VI, 142 p : online resource
冊子体 Ordered cones and approximation / Klaus Keimel, Walter Roth ; : gw,: us
著者標目 *Keimel, Klaus author
Roth, Walter author
SpringerLink (Online service)
件 名 LCSH:Mathematical analysis
FREE:Analysis
一般注記 Locally convex cones -- Uniformly continuous operators and the dual cone -- Subcones -- Approximation -- Nachbin cones -- Quantitative estimates
This book presents a unified approach to Korovkin-type approximation theorems. It includes classical material on the approximation of real-valuedfunctions as well as recent and new results on set-valued functions and stochastic processes, and on weighted approximation. The results are notonly of qualitative nature, but include quantitative bounds on the order of approximation. The book is addressed to researchers in functional analysis and approximation theory as well as to those that want to applythese methods in other fields. It is largely self- contained, but the readershould have a solid background in abstract functional analysis. The unified approach is based on a new notion of locally convex ordered cones that are not embeddable in vector spaces but allow Hahn-Banach type separation and extension theorems. This concept seems to be of independent interest
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分 類 LCC:QA299.6-433
DC23:515
書誌ID 4001452697
ISBN 9783540470793

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