The weak sequential continuity of the metric projection in L\(_p\) spaces over separable nonatomic measure spaces

DOI10.1016/0021-9045(74)90007-0zbMath0284.41016OpenAlexW1974165487MaRDI QIDQ1845160

Joseph M. Lambert

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0021-9045(74)90007-0

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (4)

Weak continuity of metric projections ⋮ Weak continuity of metric projection in Banach spaces ⋮ Weak continuity of the metric projection onto finite-dimensional subspaces in \(L_ p(\)mu) ⋮ Weak continuity of a metric projection onto a bounded set in a Banach space

Cites Work

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• Metric projections onto subspaces of finite codimension
• Smoothness of approximation
• The weak continuity of metric projections
• Extension of compact operators
• The Existence and Unicity of Best Approximations.

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