We prove a version of Bernstein's 'lethargy' theorem for cones in the class of SF-spaces. Moreover, an analogue of the Bernstein theorem for linear projections onto closed subspaces of an SF-space is obtained. This extends results given by G. Lewicki.
Cite this article
B. Micherda, Bernstein's 'Lethargy' Theorems in SF-Spaces. Z. Anal. Anwend. 22 (2003), no. 1, pp. 3–16DOI 10.4171/ZAA/1128