Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

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

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.