Minimal Shape-Preserving Projections Onto Π n : Generalizations and Extensions

DOI10.1080/01630560600884471zbMath1129.46014OpenAlexW2157394105MaRDI QIDQ3422782

Michael Prophet, Grzegorz Lewicki

Publication date: 14 February 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560600884471

zbMATH Keywords

minimal projectionsshape-preserving approximation

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation with constraints (41A29)

Related Items (3)

The Chalmers-Metcalf operator and minimal extensions ⋮ Minimal Multi-Convex Projections Onto Subspaces of Incomplete Algebraic Polynomials ⋮ Codimension 1 minimal projections onto the lines in \(L^p\)

Cites Work

• A characterization and equations for minimal shape-preserving projections
• Projections onto hyperplanes in Banach spaces
• Minimal projections on hyperplanes in sequence spaces
• The existence of shape-preserving operators with a given action
• Norms of minimal projections
• Simplicial cones and the existence of shape-preserving cyclic operators.
• On \(j\)-convex preserving interpolation operators
• Symmetric spaces with maximal projection constants
• The Determination of Minimal Projections and Extensions in L 1
• Minimal shape-preserving projections onto Π_n

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