Best approximation in 𝐿¹(𝑇)

DOI10.1090/S0002-9904-1974-13518-4zbMath0291.41022MaRDI QIDQ4042074

Jean-Pierre Kahane

Publication date: 1974

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items (10)

The mapping taking three points of a Banach space to their Steiner point ⋮ The Steiner mapping for three points in Euclidean plane ⋮ Existence of Lipschitz selections of the Steiner map ⋮ Analytic approximation in \(L^p\) and coinvariant subspaces of the Hardy space ⋮ Best approximation in [\(L_ 1\) (direct sum) R//infinity] ⋮ Chebyshev subspaces in the Hardy space \(H^1\) ⋮ A boundedness criterion for Toeplitz operators in weighted Sobolev spaces of holomorphic functions on the polydisk ⋮ Some questions on \(L^1\)-approximation in Bergman spaces ⋮ Analytic approximation of matrix functions in \(L^p\) ⋮ A Lipschitz condition for the Steiner-Lame operator

Cites Work

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• Extreme points and extremum problems in \(H_1\)
• On the uniqueness of minimal extrapolations
• Best uniform approximation by analytic functions
• Extremum problems in the theory of analytic functions
• On certain extremum problems for analytic functions
• Regularity Properties of the Element of Closest Approximation
• Algebras of functions on the unit circle
• Pseudo-Uniform Convexity in H 1
• Note on Harmonic Functions

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