Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Extreme_point> ?p ?o. }
Showing items 1 to 22 of
22
with 100 items per page.
- Extreme_point abstract "In mathematics, an extreme point of a convex set S in a real vector space is a point in S which does not lie in any open line segment joining two points of S. Intuitively, an extreme point is a "vertex" of S. The Krein–Milman theorem states that if S is convex and compact in a locally convex space, then S is the closed convex hull of its extreme points: In particular, such a set has extreme points.The Krein–Milman theorem is stated for locally convex topological vector spaces. The next theorems are stated for Banach spaces with the Radon–Nikodym property: A theorem of Joram Lindenstrauss states that, in a Banach space with the Radon–Nikodym property, a closed and bounded set has an extreme point. (In infinite-dimensional spaces, the property of compactness is stronger than the joint properties of being closed and being bounded). A theorem of Gerald Edgar states that, in a Banach space with the Radon–Nikodym property, a closed and bounded set is the closed convex hull of its extreme points.Edgar's theorem implies Lindenstrauss's theorem.".
- Extreme_point thumbnail Extreme_points_illustration.png?width=300.
- Extreme_point wikiPageExternalLink extremepoint.html.
- Extreme_point wikiPageID "454968".
- Extreme_point wikiPageRevisionID "604293470".
- Extreme_point hasPhotoCollection Extreme_point.
- Extreme_point subject Category:Convex_geometry.
- Extreme_point subject Category:Convex_hulls.
- Extreme_point subject Category:Functional_analysis.
- Extreme_point subject Category:Mathematical_analysis.
- Extreme_point comment "In mathematics, an extreme point of a convex set S in a real vector space is a point in S which does not lie in any open line segment joining two points of S. Intuitively, an extreme point is a "vertex" of S. The Krein–Milman theorem states that if S is convex and compact in a locally convex space, then S is the closed convex hull of its extreme points: In particular, such a set has extreme points.The Krein–Milman theorem is stated for locally convex topological vector spaces.".
- Extreme_point label "Extremalpunkt".
- Extreme_point label "Extreme point".
- Extreme_point label "Punto estremale".
- Extreme_point sameAs Extremalpunkt.
- Extreme_point sameAs Punto_estremale.
- Extreme_point sameAs m.011bb7rh.
- Extreme_point sameAs Q1385465.
- Extreme_point sameAs Q1385465.
- Extreme_point wasDerivedFrom Extreme_point?oldid=604293470.
- Extreme_point depiction Extreme_points_illustration.png.
- Extreme_point isPrimaryTopicOf Extreme_point.
