Almost Chebyshev subspaces of \(L^1(\mu;E)\)

DOI10.2140/pjm.1974.53.585zbMath0299.41021OpenAlexW2318174272MaRDI QIDQ1215107

Edward Rozema

Publication date: 1974

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1974.53.585

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) Spaces of vector- and operator-valued functions (46E40) Best approximation, Chebyshev systems (41A50)

Related Items (7)

A general approach to the study of Chebyshev subspaces in \(L_ 1\)- approximation of continuous functions ⋮ The prevalence of strong uniqueness in \(L^ 1\) ⋮ Best approximation in [\(L_ 1\) (direct sum) R//infinity] ⋮ An example in complex \(L^1\) approximation ⋮ On almost Chebyshev subspaces ⋮ Geometrical properties of a class of Banach spaces including the spaces \(c_0\) and \(L^p(1\leq p<\infty)\) ⋮ Almost Chebyshev properties for \(L^ 1\)-approximation of continuous functions

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