Article ID Journal Published Year Pages File Type
843105 Nonlinear Analysis: Theory, Methods & Applications 2009 6 Pages PDF
Abstract

The purpose of this paper is to introduce and to discuss the concept of approximation preserving operators on Banach lattices with a strong unit. We show that every lattice isomorphism is an approximation preserving operator. Also we give a necessary and sufficient condition for uniqueness of the best approximation by closed normal subsets of X+X+, and show that this condition is characterized by some special operators.

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Physical Sciences and Engineering Engineering Engineering (General)
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