Best simultaneous approximation on metric spaces via monotonous norms

DOI10.2298/FIL2011777KzbMath1499.41103MaRDI QIDQ5081264

Muna Khandaqji, Aliaa Burqan

Publication date: 14 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

approximationsimultaneous

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

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• Best simultaneous approximation in \(L^{p}(I,E)\)
• Existence of best simultaneous approximations in \(L_p (S,\, \varSigma,\, X)\)
• Best simultaneous approximation in \(L_{1}(\mu ,X)\)
• Best simultaneous approximation in Orlicz spaces
• On the tensor product of a class of non-locally convex topological vector spaces
• Proximinality in \(L_p(\mu,X)\)

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