Weak continuity of the metric projection onto finite-dimensional subspaces in \(L_ p(\)mu)

DOI10.1007/BF01709147zbMath0479.46009MaRDI QIDQ1161959

V. S. Balaganskij

Publication date: 1981

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

metric projectionLp spaces

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) Best approximation, Chebyshev systems (41A50) Classical Banach spaces in the general theory (46B25)

Cites Work

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• The weak sequential continuity of the metric projection in L\(_p\) spaces over separable nonatomic measure spaces
• On equidistant sets in normed linear spaces

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