Convergence from approximating subspaces

DOI10.1016/0021-9045(81)90003-4zbMath0485.41026OpenAlexW2006449890MaRDI QIDQ1164227

Eitan Lapidot, Frank Deutsch

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-9045(81)90003-4

zbMATH Keywords

Banach spacemetric projection

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Best approximation, Chebyshev systems (41A50) Classical Banach spaces in the general theory (46B25) Convergence and divergence of series and sequences of functions (40A30) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

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• Best approximation with respect to nearby norms
• Convergence of Approximating Polynomials