The set of continuous selections of a metric projection in C(X)

DOI10.1016/0021-9045(82)90061-2zbMath0493.41030OpenAlexW1998832383MaRDI QIDQ1168523

Joerg Blatter, Larry L. Schumaker

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-9045(82)90061-2

zbMATH Keywords

Michael's selection theoremspline spacesuniform approximation of functions

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (9)

A continuity condition for the existence of a continuous selection for a set-valued mapping ⋮ Strong uniqueness and Lipschitz continuity of metric projections: A generalization of the classical Haar theory ⋮ Set valued mappings, continuous selections, and metric projections ⋮ Unique continuous selections for metric projections of C(X) onto finite- dimensional vector subspaces ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ An intrinsic characterization of lower semicontinuity of the metric projection in \(C_ 0(T,X)\) ⋮ Various continuities of metric projections in \(C_ 0(T,X)\) ⋮ Nonuniqueness and selections in spline approximation ⋮ Continuous selections and maximal alternators for spline approximation

Cites Work

• Unnamed Item
• Unnamed Item
• Continuous selections. I
• Continuous selections and maximal alternators for spline approximation
• Continuous selections for metric projections
• Continuity of the set-valued metric projection
• On continuous selections for metric projections in spaces of continuous functions
• Characterization of Continuous Selections of the Metric Projection for a Class of Weak Chebyshev Spaces
• Interposition and Lattice Cones of Functions

This page was built for publication: The set of continuous selections of a metric projection in C(X)