Continuous Selections for Metric Projections and Interpolating Subspaces / Edition 1

Continuous Selections for Metric Projections and Interpolating Subspaces / Edition 1

by Wu Li
     
 

ISBN-10: 3631435215

ISBN-13: 9783631435212

Pub. Date: 02/01/1991

Publisher: Lang, Peter Publishing, Incorporated

The existence of continuous selections for metric projections is the theoretical foundation of the existence of stable algorithms for computing best approximation elements. In this monograph we will give various intrinsic characterizations of subspaces of C o(T) which ensure the existence of continuous metric selections. Since the Chebyshev approximation is a

Overview

The existence of continuous selections for metric projections is the theoretical foundation of the existence of stable algorithms for computing best approximation elements. In this monograph we will give various intrinsic characterizations of subspaces of C o(T) which ensure the existence of continuous metric selections. Since the Chebyshev approximation is a special case of semi-infinite optimization, we hope that our study will give some insight to stability problems in semi-infinite optimization as well as parametric optimizations.

Product Details

ISBN-13:
9783631435212
Publisher:
Lang, Peter Publishing, Incorporated
Publication date:
02/01/1991
Series:
Approximation and Optimization Series
Pages:
114

Table of Contents

Contents: This monograph deals with various intrinsic characterizations of those subspaces G of C o(T) whose metric projections P G have continuous selections. We have a systematic development of the theory of the classical Chebyshev alternation phenomena and the strict best approximation introduced by J.R. Rice.

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