ENGLISH

Ordered Cones And Approximation

By Klaus Keimel , Walter Roth

Book information

Publisher
Springer
Year
1992
ISBN
3540554459
LCC
QA3 .L28 no. 1517,QA329 .L28 no. 1517
Open Library ID
OL1710156M
Language
english
Format
DJVU
Filesize
694 kB (710955 bytes)
Series
Lecture Notes in Mathematics
Edition
1
Pages
146\146
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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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