The failure of Bernstein's theorem for polynomials on C(K) spaces

DOI10.1016/0021-9045(87)90029-3zbMath0642.41006OpenAlexW2095575007MaRDI QIDQ1101625

B. George

Publication date: 1987

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

Full work available at URL: http://bura.brunel.ac.uk/handle/2438/2281

zbMATH Keywords

Hilbert spaceFréchet derivativeBernstein's theorem

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by polynomials (41A10)

Related Items (2)

A proof of Markov's theorem for polynomials on Banach spaces ⋮ Homogeneous polynomials and extensions of Hardy-Hilbert's inequality

Cites Work

• On an inequality of von Neumann and an application of the metric theory of tensor products to operators theory. (Appendix by S. Kaijser and N. Th. Varopoulos.)
• Polarization and the two-dimensional Grothendieck inequality
• Estimates for polynomial norms on L^p(μ) spaces
• On Bounds of Polynomials in Hyperspheres and Frechet-Michal Derivatives in Real and Complex Normed Linear Spaces
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