Uniform \(K\)-monotonicity and \(K\)-order continuity in symmetric spaces with application to approximation theory

DOI10.1016/j.jmaa.2017.07.031zbMath1387.41013OpenAlexW2737771793MaRDI QIDQ1746249

Maciej Ciesielski, Grzegorz Lewicki

Publication date: 24 April 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.07.031

zbMATH Keywords

Lorentz spacesymmetric space\(K\)-order continuitystrict \(K\)-monotonicitythe best approximation operatoruniform \(K\)-monotonicity

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20)

Related Items (2)

Relationships between \(K\)-monotonicity and rotundity properties with application ⋮ Lower and upper local uniform \(K\)-monotonicity in symmetric spaces

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