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Ordered Cones and Approximation : Lecture Notes in Mathematics - Klaus Keimel

Ordered Cones and Approximation

Lecture Notes in Mathematics

Paperback Published: 6th May 1992
ISBN: 9783540554455
Number Of Pages: 142

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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.

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

ISBN: 9783540554455
ISBN-10: 3540554459
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 142
Published: 6th May 1992
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 0.81
Weight (kg): 0.22