Chalmers–Metcalf Operator and Uniqueness of Minimal Projections in ℓ n ∞ and ℓ n 1 Spaces

DOI10.1007/978-1-4614-0772-0_21zbMath1263.41014OpenAlexW997966946MaRDI QIDQ2912189

Lesław Skrzypek

Publication date: 14 September 2012

Published in: Springer Proceedings in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-0772-0_21

zbMATH Keywords

uniqueness of minimal projectionsminimal projection\(l_\infty ^n\) spaces\(l_1^n\) spacesChalmers-Metcalf operator

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Uniqueness of best approximation (41A52)

Cites Work

• Minimal projections in Banach spaces. Problems of existence and uniqueness and their application
• Minimal projections on hyperplanes in sequence spaces
• Minimal projections onto subspaces of \(l_ \infty^{(n)}\) of codimension two
• Minimal projections onto two dimensional subspaces of \(l_ \infty^{(4)}\)
• Chalmers-Metcalf operator and uniqueness of minimal projections
• The Determination of Minimal Projections and Extensions in L 1
• On the existence and characterization of minimal projections.
• Norm-one projections in Banach spaces
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