On best approximation by rational and holomorphic mappings between Banach spaces

DOI10.1016/0021-9045(89)90033-6zbMath0718.41036OpenAlexW1968479630MaRDI QIDQ2639280

Yanyan Li

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9045(89)90033-6

zbMATH Keywords

Banach spacesGarkavi's theorem

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (1)

Linearization of Bounded Holomorphic Mappings on Banach Spaces

Cites Work

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• Approximation by finite rank operators
• Approximation of analytic functions by rational functions in Banach spaces
• Existence of best rational Tchebycheff approximations
• Best approximation by polynomial operators in banach spaces
• The Existence of Rational Functions of Best Approximation
• Generalized Rational Approximation
• The best possible net and the best possible cross-section of a set in a normed space

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