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Convex cores of measures on R d.

Result description

We define the convex core of a finite Borel measure Q on R d as the intersection of all convex Borel sets C with Q(C)=Q(R d). It consists exactly of means of probability measures dominated by Q. Geometric and measure-theoretic properties of convex coresare studied, including behaviour under certain operations on measures. Convex cores are characterized as those convex sets that have at most countable number of faces.

Keywords

convex supportconvex sets in n-dimensionslattice of faces

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Convex cores of measures on R d.

  • Original language description

    We define the convex core of a finite Borel measure Q on R d as the intersection of all convex Borel sets C with Q(C)=Q(R d). It consists exactly of means of probability measures dominated by Q. Geometric and measure-theoretic properties of convex coresare studied, including behaviour under certain operations on measures. Convex cores are characterized as those convex sets that have at most countable number of faces.

  • Czech name

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2001

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Studia Scientiarum Mathematicarum Hungarica

  • ISSN

    0081-6906

  • e-ISSN

  • Volume of the periodical

    38

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    HU - HUNGARY

  • Number of pages

    14

  • Pages from-to

    177-190

  • UT code for WoS article

  • EID of the result in the Scopus database

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BA - General mathematics

Year of implementation

2001