An investigation is carried out of the compact convex sets X in an infinite-dimensional separable Hilbert space , for which the metric antiprojection from e to X has fixed cardinality n+1 ( arbitrary) for every e in a dense subset of . A similar study is performed in the case of the metric projection from e to X where X is a compact subset of .
@article{bwmeta1.element.bwnjournal-article-smv135i2p143bwm,
author = {F. de Blasi},
title = {Some geometric properties of typical compact convex sets in Hilbert spaces},
journal = {Studia Mathematica},
volume = {133},
year = {1999},
pages = {143-162},
zbl = {0951.52002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv135i2p143bwm}
}
de Blasi, F. Some geometric properties of typical compact convex sets in Hilbert spaces. Studia Mathematica, Tome 133 (1999) pp. 143-162. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv135i2p143bwm/
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