Monotonicity and best approximation in Banach lattices |
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| Authors: | Shu Tao Chen Xin He H. Hudzik |
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| Affiliation: | (1) Department of Mathematics, Harbin Normal University, Harbin, 150080, P. R. China;(2) Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznan, Poland |
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| 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. Supported by National Natural Science Foundation of China, Grant (10471032) |
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| Keywords: | Banach lattice uniform monotonicity strict monotonicity upper (lower) locally uniform monotonicity best approximation |
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