Journal of Convex Analysis 18 (2011), No. 4, 903--913
Copyright Heldermann Verlag 2011
Locally Convex Quotient Cones
Dept. of Mathematics, Universiti Brunei Darussalam, Gadong BE1410, Brunei Darussalam
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
[ Fulltext-pdf (141 KB)] for subscribers only.