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Monotonicity and best approximation in Banach lattices

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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.

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Authors and Affiliations

  1. Department of Mathematics, Harbin Normal University, Harbin, 150080, P. R. China

    Shu Tao Chen & Xin He

  2. Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614, Poznan, Poland

    H. Hudzik

Authors
  1. Shu Tao Chen
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  2. Xin He
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  3. H. Hudzik
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Correspondence to Xin He.

Additional information

Supported by National Natural Science Foundation of China, Grant (10471032)

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Chen, S.T., He, X. & Hudzik, H. Monotonicity and best approximation in Banach lattices. Acta. Math. Sin.-English Ser. 25, 785–794 (2009). https://doi.org/10.1007/s10114-009-7391-5

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  • DOI: https://doi.org/10.1007/s10114-009-7391-5

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