On the non-uniqueness of minimal projection in \(L_p\) spaces

DOI10.1016/j.jat.2008.08.006zbMath1189.46013OpenAlexW2028572357MaRDI QIDQ1040852

Lesław Skrzypek, Boris Shekhtman

Publication date: 26 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.jat.2008.08.006

zbMATH Keywords

minimal projections

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (3)

On the dimension of the set of minimal projections ⋮ On the non-uniqueness of minimal projections in and discrete Walsh projections ⋮ Chalmers-Metcalf operator and uniqueness of minimal projections

Cites Work

• Codimension-one minimal projections onto Haar subspaces
• Norm-one projections onto subspaces of \(\ell _ p\)
• Minimal projections in Banach spaces. Problems of existence and uniqueness and their application
• Minimal projections on hyperplanes in sequence spaces
• Chalmers-Metcalf operator and uniqueness of minimal projections
• Projecting onto cycles in smooth, reflexive Banach spaces
• On the existence and characterization of minimal projections.
• Uniqueness of minimal projections onto two-dimensional subspaces
• On projections on subspaces of codimension one
• On the Minimal Property of the Fourier Projection
• On the minimum norm property of the Fourier projection in $L^1$-spaces and in spaces of continuous functions
• Norm-one projections in Banach spaces
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