Some properties of the peak-set-mapping

DOI10.1016/0021-9045(73)90012-9zbMath0264.41021OpenAlexW2084082096MaRDI QIDQ2561719

Rudolf Wegmann

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1016/0021-9045(73)90012-9

Mathematics Subject Classification ID

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

Related Items (9)

Connectedness and other geometric properties of suns and Chebyshev sets ⋮ Suns, moons, and \(\mathring{B}\)-complete sets in asymmetric spaces ⋮ Continuities of metric projection and geometric consequences ⋮ Selections of the best and near-best approximation operators and solarity ⋮ Proximinality in subspaces of \(c_0\) ⋮ Kuratowksi convergence of the efficient sets in the parametric linear vector semi-infinite optimization ⋮ A characterization of (locally) uniformly convex spaces in terms of relative openess of quotient maps on the unit ball ⋮ On approximate minima of a convex functional and lower semicontinuity of metric projections ⋮ Polyhedral norms in an infinite dimensional space

Cites Work

• The numerical range of a continuous mapping of a normed space
• Charakterisierung bester Approximationen in normierten Vektorräumen
• Suns, moons, and quasi-polyhedra
• Best n -Dimensional Approximation to Sets of Functions
• The Geometry of Banach Spaces. Smoothness
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