Compact Convex Set Metric Antiprojection Multivalued Locus Baire Category
Issue Date:
1997
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 23, No 3-4, (1997), 255p-268p
Abstract:
Let E be an infinite dimensional separable space and for e ∈ E
and X a nonempty compact convex subset of E, let qX(e) be the metric
antiprojection of e on X. Let n ≥ 2 be an arbitrary integer. It is shown
that for a typical (in the sence of the Baire category) compact convex set
X ⊂ E the metric antiprojection qX(e) has cardinality at least n for every
e in a dense subset of E.
