Ordered Cones and Approximation

1992
ISBN: 978-3-540-55445-5
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1517, 142 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 236 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Roth, Walter

Keimel, Klaus

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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