Bernstein's 'Lethargy' Theorems in SF-Spaces
B. Micherda
Jagiellonian University, Krakow, Poland
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Abstract
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. 3–16
DOI 10.4171/ZAA/1128