Convergence of the weak dual greedy algorithm in \(L_{p}\)-spaces.

DOI10.1016/S0021-9045(03)00133-3zbMath1041.46007MaRDI QIDQ1414073

M. Ganichev, Nigel J. Kalton

Publication date: 19 November 2003

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

zbMATH Keywords

greedy algorithmFréchet differentiable normdictionaryGâteaux differentiable norm

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (9)

Obituary: Nigel John Kalton, 1946-2010 ⋮ Greedy expansions in Banach spaces ⋮ On the convergence of greedy algorithms for initial segments of the Haar basis ⋮ Relations between geometric convexity, doubling measures and property $\Gamma $ ⋮ The weak Chebyshev X-greedy algorithm in the unweighted Bergman space ⋮ Weak convergence of greedy algorithms in Banach spaces ⋮ The problem of two sticks ⋮ On a greedy algorithm in the space \(L_p[0,1\)] ⋮ A unified way of analyzing some greedy algorithms

Cites Work

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• Projection pursuit
• On a conjecture of Huber concerning the convergence of projection pursuit regression
• Nonlinear methods of approximation
• A criterion for convergence of weak greedy algorithms
• Convergence of some greedy algorithms in Banach spaces
• Convergence of greedy algorithms in Banach spaces
• Weak greedy algorithms
• Remarks on projection pursuit regression and density estimation

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