Journal of Convex Analysis 18 (2011), No. 4, 903--913
Copyright Heldermann Verlag 2011
Locally Convex Quotient Cones
Walter Roth
Dept. of Mathematics, Universiti Brunei Darussalam, Gadong BE1410, Brunei Darussalam
walter.roth@ubd.edu.bn
We investigate suitable equivalence relations on locally convex cones which give rise to the definition of a locally convex quotient cone. In the special case of a locally convex vector space, this reduces to the known concept of quotient spaces. We recover most aspects of this case for our more general setting and provide a range of examples and applications for this approach, most of them new.
Keywords: Locally convex cones, equivalence relations, quotients.
MSC: 46A40, 46A03, 46A20
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