| Authors | S. M. Modarres and M. Dehghani |
|---|---|
| Journal | Nolinear Analysis: Theory, Methods & Applications |
| Page number | 3342-2247 |
| Serial number | 9 |
| Volume number | 70 |
| Paper Type | Original Research |
| Published At | 2009 |
| Journal Grade | ISI (WOS) |
| Journal Type | Typographic |
| Journal Country | United Kingdom |
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+, and show that this condition is characterized by some special operators.