Approximation properties for spaces of Bochner integrable functions

DOI10.1016/j.jmaa.2014.10.070zbMath1316.46038OpenAlexW2080020824MaRDI QIDQ472358

T. S. S. R. K. Rao

Publication date: 19 November 2014

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.2014.10.070

zbMATH Keywords

best approximationBochner integralLebesgue-Bochner spacesproximinality\(L\)-embedded spaces

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Isometric theory of Banach spaces (46B04)

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Cites Work

• \(M\)-ideals in Banach spaces and Banach algebras
• Best simultaneous approximation in \(L^{p}(I,E)\)
• Best simultaneous approximation in \(L_{1}(\mu ,X)\)
• Approximation theory in tensor product spaces
• Proximinality in \(L_p(\mu,X)\)
• Best approximants in L 1 space
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