Locally Convex Quotient Cones
Journal of convex analysis, Tome 18 (2011) no. 4, pp. 903-913
Voir la notice de l'article provenant de la source Heldermann Verlag
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.
Classification :
46A40, 46A03, 46A20
Mots-clés : Locally convex cones, equivalence relations, quotients
Mots-clés : Locally convex cones, equivalence relations, quotients
@article{JCA_2011_18_4_JCA_2011_18_4_a0,
author = {W. Roth},
title = {Locally {Convex} {Quotient} {Cones}},
journal = {Journal of convex analysis},
pages = {903--913},
publisher = {mathdoc},
volume = {18},
number = {4},
year = {2011},
url = {http://geodesic.mathdoc.fr/item/JCA_2011_18_4_JCA_2011_18_4_a0/}
}
W. Roth. Locally Convex Quotient Cones. Journal of convex analysis, Tome 18 (2011) no. 4, pp. 903-913. http://geodesic.mathdoc.fr/item/JCA_2011_18_4_JCA_2011_18_4_a0/