Best approximation in LP (I, X)
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Publication:3310322
DOI10.1017/S0305004100061120zbMath0528.41019OpenAlexW1997514711MaRDI QIDQ3310322
Publication date: 1983
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0305004100061120
Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)
Related Items (15)
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 ⋮ Best aproximation ni L1 ⋮ Best approximation in tensor products ⋮ Best approximation in \(L^ p(\mu,X)\). II ⋮ Best simultaneous approximation in Orlicz spaces ⋮ Simultaneous Approximations in Banach Space-Valued Bochner–Lebesgue Spaces with Variable Exponent ⋮ Various notions of best approximation property in spaces of Bochner integrable functions ⋮ Existence of best simultaneous approximations in \(L_p (S,\, \varSigma,\, X)\) ⋮ 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 ⋮ Best approximation in \(L^ p(I,X)\), \(0<p<1\)
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