Monotonicity and best approximation in Banach lattices

Citation
Chen, Shu Tao et al., Monotonicity and best approximation in Banach lattices, Acta mathematica Sinica. English series (Print) , 25(5), 2009, pp. 785-794
ISSN journal
14398516
Volume
25
Issue
5
Year of publication
2009
Pages
785 - 794
Database
ACNP
SICI code
Abstract
Hudzik and Kurc discussed some best approximation problems in Banach lattices by means of monotonicities. This paper deals with more general best approximation problems in Banach lattices. Existence, uniqueness, stability and continuity for such best approximation problems are discussed.