Best approximation in \(L^ p(\mu,X)\). II

DOI10.1016/0021-9045(89)90094-4zbMath0701.41041OpenAlexW2000658795MaRDI QIDQ914094

W. Deeb, Roshdi Khalil

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9045(89)90094-4

zbMATH Keywords

Banach spaceBochner p-integrable functionsseparable proximinal dual space

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (14)

Best approximation in function and operator spaces ⋮ Proximinality and unicity in vector-valued function spaces ⋮ Proximinality in Banach space valued Musielak-Orlicz spaces ⋮ On proximinal subspaces of vector-valued Orlicz-Musielak spaces ⋮ \(n\)-best kernel approximation in reproducing kernel Hilbert spaces ⋮ Proximinal subspaces of \(C(\mathcal Q)\) of finite codimension ⋮ Simultaneous Approximations in Banach Space-Valued Bochner–Lebesgue Spaces with Variable Exponent ⋮ Various notions of best approximation property in spaces of Bochner integrable functions ⋮ Best simultaneous approximation in \(L^{p}(I,E)\) ⋮ Existence of best simultaneous approximations in \(L_p (S,\, \varSigma,\, X)\) ⋮ Computing the Distance to the Functions with Range in a Given Set in Lebesgue Spaces of Vector-Valued Functions ⋮ Existence of best simultaneous approximations in \(L_p(S,\Sigma,X)\) without the RNP assumption ⋮ Proximinality in \(L_p(\mu,X)\) ⋮ Proximinality in Banach space-valued grand Bochner-Lebesgue spaces with variable exponent

Cites Work

• Best approximation in L^P (I, X)
• Some best-approximation theorems in tensor-product spaces
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