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ON A SEPARATION THEOREM INVOLVING THE QUASI-RELATIVE INTERIOR

Published online by Cambridge University Press:  08 January 2008

F. Cammaroto  and
B. Di Bella
F. Cammaroto
Affiliation:
Department of Mathematics, University of Messina, Salita Sperone 31, 98166 Sant'Agata-Messina, Italy ([email protected])
B. Di Bella
Affiliation:
Department of Mathematics, University of Messina, Salita Sperone 31, 98166 Sant'Agata-Messina, Italy ([email protected])
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Abstract

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We establish two separation theorems in which the classic interior is replaced by the quasi-relative interior.

Keywords

Primary 52A07Secondary 46B20separation theoremsquasi-relative interiorconvex cones
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 50 , Issue 3 , October 2007 , pp. 605 - 610
Copyright
Copyright © Edinburgh Mathematical Society 2007