We show that every subspace of finite codimension of the space C[0,1] is extremal with respect to the minimal displacement problem.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm225-3-1,
author = {Krzysztof Bolibok},
title = {The minimal displacement problem in subspaces of the space of continuous functions of finite codimension},
journal = {Studia Mathematica},
volume = {223},
year = {2014},
pages = {193-201},
zbl = {1322.47050},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm225-3-1}
}
Krzysztof Bolibok. The minimal displacement problem in subspaces of the space of continuous functions of finite codimension. Studia Mathematica, Tome 223 (2014) pp. 193-201. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm225-3-1/