Acta Mathematica Sinica, English Series

, Volume 25, Issue 5, pp 785–794

Monotonicity and best approximation in Banach lattices

Article

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.

Keywords

Banach lattice uniform monotonicity strict monotonicity upper (lower) locally uniform monotonicity best approximation 

MR(2000) Subject Classification

41A65 46B42 

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Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag GmbH 2009

Authors and Affiliations

  1. 1.Department of MathematicsHarbin Normal UniversityHarbinP. R. China
  2. 2.Faculty of Mathematics and Computer ScienceAdam Mickiewicz UniversityPoznanPoland

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