Best approximation of Lebesgue-Bochner summable functions

DOI10.1016/0021-9045(77)90027-2zbMath0346.41025OpenAlexW2093672831MaRDI QIDQ1233577

Jaroslav Mach

Publication date: 1977

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(77)90027-2

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

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• L\(_1\) approximation of vector-valued functions
• Linear functionals on certain spaces of abstractly valued functions
• On approximation of continuous functions in the metric $\int_a^b |x(t)| dt$
• Approximation in the Metric of L 1 (X,μ)
• The Existence and Unicity of Best Approximations.
• Orthogonality and Linear Functionals in Normed Linear Spaces

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