On continuous selections for metric projections in spaces of continuous functions

DOI10.1016/0022-1236(71)90005-XzbMath0224.41013MaRDI QIDQ2548392

Aldric L. Brown

Publication date: 1971

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

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A continuity condition for the existence of a continuous selection for a set-valued mapping, Continuities of metric projection and geometric consequences, Set valued mappings, continuous selections, and metric projections, A characterization of reflexive spaces by means of continuous approximate selections for metric projections, Continuous selections for the metric projection and alternation, Almost Chebyshev Subspaces, Lower Semicontinuity, and Hahn-Banach Extensions, Unique continuous selections for metric projections of C(X) onto finite- dimensional vector subspaces, Existence of pointwise-Lipschitz-continuous selections of the metric projection for a class of Z-spaces, The set of continuous selections of a metric projection in C(X), Concepts of lower semicontinuity and continuous selections for convex valued multifunctions, On the number of zeros of functions in a weak Tchebyshev-Space, Eigenschaften von schwach tschebyscheffschen Räumen, Schnitte für die metrische Projektion, Characterization of continuous selections of the metric projection for spline functions, An intrinsic characterization of lower semicontinuity of the metric projection in \(C_ 0(T,X)\), Various continuities of metric projections in \(C_ 0(T,X)\), An extension to Mairhuber's theorem. On metric projections and discontinuity of multivariate best uniform approximation, Linear selections for the metric projection, Lower semicontinuity concepts, continuous selections, and set valued metric projections, A characterization of pointwise-lipschitz-continuous selections for the metric projection

Cites Work

• Unnamed Item
• Continuous selections for metric projections
• Continuity of the set-valued metric projection
• On Haar's Theorem Concerning Chebychev Approximation Problems Having Unique Solutions
• Best n -Dimensional Approximation to Sets of Functions