Monotonicity and best approximation in Banach lattices
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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.
KeywordsBanach lattice uniform monotonicity strict monotonicity upper (lower) locally uniform monotonicity best approximation
MR(2000) Subject Classification41A65 46B42
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