A framework for best simultaneous approximation: normed almost linear spaces

DOI10.1016/0021-9045(85)90110-8zbMath0602.41025OpenAlexW2078428935MaRDI QIDQ1081771

G. Godini

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-9045(85)90110-8

zbMATH Keywords

best simultaneous approximationnormed almost linear spacestrong normed almost linear space

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Simultaneous approximation (41A28)

Related Items (8)

A duality theory for set-valued functions. I: Fenchel conjugation theory ⋮ On normed almost linear spaces ⋮ Cauchy nets and convergent nets on semilinear topological spaces ⋮ Embedding of a uniquely divisible abelian semigroup in a convex cone ⋮ Schauder fixed-point theorem in semilinear spaces and its application to fractional differential equations with uncertainty ⋮ Optimal recovery of operators in function \(L\)-spaces ⋮ Set Optimization—A Rather Short Introduction ⋮ Unnamed Item

Cites Work

• Continuous selections. I
• Approximation by certain subspaces in the Banach space of continuous vector-valued functions
• A remark on the lower semi-continuity of the set-valued metric projection
• Relative Chebyshev centers in normed linear spaces. I
• The Hausdorff metric and Cebysev centres
• Continuity properties of Chebyshev centers
• Restricted centers in subalgebras of C(X)
• On best simultaneous approximation in normed linear spaces
• Best simultaneous of bounded functions with values in certain Banach spaces
• Restricted Chebyshev centers of bounded subsets in arbitrary Banach spaces
• A remark on simultaneous approximation
• Intersection Properties of Balls and Subspaces in Banach Spaces
• The Existence and Unicity of Best Approximations.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A framework for best simultaneous approximation: normed almost linear spaces