# On Typical Compact Convex Sets in Hilbert Spaces

Serdica Mathematical Journal (1997)

- Volume: 23, Issue: 3-4, page 255-268
- ISSN: 1310-6600

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topDe Blasi, F.. "On Typical Compact Convex Sets in Hilbert Spaces." Serdica Mathematical Journal 23.3-4 (1997): 255-268. <http://eudml.org/doc/11618>.

@article{DeBlasi1997,

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.},

author = {De Blasi, F.},

journal = {Serdica Mathematical Journal},

keywords = {Compact Convex Set; Metric Antiprojection; Multivalued Locus; Baire Category; metric antiprojection; Baire category; compact convex set; multivalued locus},

language = {eng},

number = {3-4},

pages = {255-268},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {On Typical Compact Convex Sets in Hilbert Spaces},

url = {http://eudml.org/doc/11618},

volume = {23},

year = {1997},

}

TY - JOUR

AU - De Blasi, F.

TI - On Typical Compact Convex Sets in Hilbert Spaces

JO - Serdica Mathematical Journal

PY - 1997

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 23

IS - 3-4

SP - 255

EP - 268

AB - 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.

LA - eng

KW - Compact Convex Set; Metric Antiprojection; Multivalued Locus; Baire Category; metric antiprojection; Baire category; compact convex set; multivalued locus

UR - http://eudml.org/doc/11618

ER -

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