New results for best approximation on Banach lattices

DOI10.1016/j.na.2008.05.001zbMath1163.41309OpenAlexW2033216668MaRDI QIDQ1009651

Mehdi Dehghani, Seyed Mohammad Sadegh Modarres Mosadegh

Publication date: 2 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.05.001

zbMATH Keywords

best approximationnormal setdownward setapproximation preserving operatorstrictly normal set

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Interpolation in approximation theory (41A05) Approximation with constraints (41A29)

Related Items (2)

I_m-Quasi Upward Sets, with Their Best Approximations ⋮ BEST APPROXIMATION IN QUASI TENSOR PRODUCT SPACE AND DIRECT SUM OF LATTICE NORMED SPACES

Cites Work

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• Downward sets and their separation and approximation properties
• Best approximation by downward sets with applications
• The maps preserving approximation
• TWO POROSITY RESULTS IN MONOTONIC ANALYSIS
• Abstract convexity:examples and applications
• Best approximation by normal and conormal sets

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