On Typical Compact Convex Sets in Hilbert Spaces
Data(s) |
29/11/2009
29/11/2009
1997
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Resumo |
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. |
Identificador |
Serdica Mathematical Journal, Vol. 23, No 3-4, (1997), 255p-268p 1310-6600 |
Idioma(s) |
en |
Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
Palavras-Chave | #Compact Convex Set #Metric Antiprojection #Multivalued Locus #Baire Category |
Tipo |
Article |