Science Links Japan | Facial structure of convex sets and representation of convex operators.

Facial structure of convex sets and representation of convex operators.

Accession number;99A0881159

Title;Facial structure of convex sets and representation of convex operators.

Author; KOMURO N (Hokkaido Univ. Education, Asahikawa Campus)

Journal Title;Journal of Hokkaido University of Education. Natural Science

Journal Code:L3615A

ISSN:1344-2570

VOL.50;NO.1;PAGE.1-4(1999)

Figure&Table&Reference;

Pub. Country;Japan

Language;English

Abstract;The set of all faces of a convex set in Rd is a complete lattice. We define a different lattice structure of some unions of faces. Applying this, we give a new proof of representation theorem of convex operators on Rd. (author abst.)

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