A characterization and equations for minimal shape-preserving projections

DOI10.1016/J.JAT.2005.11.006zbMath1101.46012OpenAlexW2070014579MaRDI QIDQ818471

Michael Prophet, Bruce L. Chalmers, Douglas Mupasiri

Publication date: 20 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.jat.2005.11.006

zbMATH Keywords

shape-preservingminimal projections

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) General theory of linear operators (47A99)

Related Items (3)

Shape-preserving projections in low-dimensional settings and the \(q\)-monotone case ⋮ The unique minimality of an averaging projection ⋮ Minimal Shape-Preserving Projections Onto Π _n : Generalizations and Extensions

Cites Work

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• Qualitative Korovkin-type results on conservative approximation
• Norms of minimal projections
• Symmetric spaces with maximal projection constants
• A note on the existence of shape-preserving projections
• Bounds for Projection Constants and 1-Summing Norms
• The Determination of Minimal Projections and Extensions in L 1
• Minimal shape-preserving projections onto Π_n
• A Theorem of the Hahn-Banach Type for Linear Transformations

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