
Ordered Cones and Approximation
Springer (Publisher)
Published on 6. May 1992
Book
Paperback/Softback
VI, 142 pages
978-3-540-55445-5 (ISBN)
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.
More details
Series
Edition
1992 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VI, 142 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 9 mm
Weight
236 gr
ISBN-13
978-3-540-55445-5 (9783540554455)
DOI
10.1007/BFb0089190
Schweitzer Classification
Content
Locally convex cones.- Uniformly continuous operators and the dual cone.- Subcones.- Approximation.- Nachbin cones.- Quantitative estimates.