On Some Spaces Used in Convex and interval Analysis

Markov, S. (2001) On Some Spaces Used in Convex and interval Analysis. In: Proceedings of the Second Conference on Informatics and Information Technology. Institute of Informatics, Faculty of Natural Sciences and Mathematics, Ss. Cyril and Methodius University in Skopje, Macedonia, Skopje, Macedonia, pp. 246-259. ISBN 9989-668-28-0


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Algebraic systems abstracting properties of convex bodies and intervals, with respect to addition and multiplication by scalars, known as quasilinear spaces, are studied axiomatically. We show that every quasilinear space with group structure is a direct sum of a vector space and a symmetric quasivector space; a complete characterization of the latter spaes in the finite dimensional case is given.

Item Type: Book Section
Uncontrolled Keywords: convex bodies, intervals, vector space, quasilinear space, quasivector space, symmetric quasivector space
Subjects: International Conference on Informatics and Information Technologies > Informatics and IT
Depositing User: Vangel Ajanovski
Date Deposited: 28 Oct 2016 00:15
Last Modified: 28 Oct 2016 00:15
URI: http://eprints.finki.ukim.mk/id/eprint/11261

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