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Monotonicity and Best Approximation in Banach Lattices 被引量:3

Monotonicity and Best Approximation in Banach Lattices
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摘要 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. 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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2009年第5期785-794,共10页 数学学报(英文版)
基金 Supported by National Natural Science Foundation of China, Grant (10471032)
关键词 Banach lattice uniform monotonicity strict monotonicity upper (lower) locally uniform monotonicity best approximation Banach lattice, uniform monotonicity, strict monotonicity, upper (lower) locally uniform monotonicity, best approximation
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