Interpolation and approximation from sublattices of C₀(X; R)


In this paper, we give a proof of a result concerning simultaneous interpolation and approximation from sublattices of the space of real continuous functions vanishing at infinity.

Biografía del autor/a

Marcia S. Kashimoto, Universidade Federal de Itajubá.
Instituto de Matemática e Computação – IMC.


S. Boel, T. Carlsen and N. Hansen, "A Useful Strengthening of the Stone-Weierstrass Theorem", The American Mathematical Monthly, vol. 108, no. 7, p. 642, 2001, doi: 10.2307/2695271.

F. Bonsall, "Semi-Algebras of Continuous Functions", Proceedings of the London Mathematical Society, vol. s3-10, no.1, pp. 122-140, 1960, doi: 10.1112/plms/s3-10.1.122.

F. Deutsch, "Simultaneous Interpolation and Approximation in Topological Linear Spaces", SIAM Journal on Applied Mathematics, vol. 14, no. 5, pp. 1180-1190, 1966, doi: 10.1137/0114095.

W. Rudin, Real and complex analysis, 3rd ed. Singapore: McGraw-Hill, 1987.

G. Simmons, Introduction to topology and modern analysis. New York: McGraw-Hill, 1963.

H. Wu, "New Stone-Weierstrass Theorem", Advances in Pure Mathematics, vol. 06, no. 13, pp. 943-947, 2016, doi: 10.4236/apm.2016.613071.

Cómo citar
M. Kashimoto, «Interpolation and approximation from sublattices of C₀(X; R»), Proyecciones (Antofagasta, En línea), vol. 38, n.º 3, pp. 395-400, ago. 2019.