scholarly journals Extensions of convex functionals on convex cones

1998 ◽  
Vol 25 (3) ◽  
pp. 381-386
Author(s):  
E. Ignaczak ◽  
A. Paszkiewicz
Keyword(s):  
Convex Cones ◽  
Convex Functionals

Finite dimensional locally convex cones

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5111-5116
Author(s):  
Davood Ayaseha
Keyword(s):  
Finite Dimension ◽  
Convex Cones ◽  
Vector Spaces ◽  
Topological Vector Spaces ◽  
Euclidean Topology ◽  
Finite Dimensional ◽  
Dimensional Cone ◽  
Locally Convex Cones ◽  
Locally Convex ◽  
Special Case

We study the locally convex cones which have finite dimension. We introduce the Euclidean convex quasiuniform structure on a finite dimensional cone. In special case of finite dimensional locally convex topological vector spaces, the symmetric topology induced by the Euclidean convex quasiuniform structure reduces to the known concept of Euclidean topology. We prove that the dual of a finite dimensional cone endowed with the Euclidean convex quasiuniform structure is identical with it?s algebraic dual.

scholarly journals Sobolev inequalities with jointly concave weights on convex cones

2020 ◽  
Author(s):  
Zoltán M. Balogh ◽  
Cristian E. Gutiérrez ◽  
Alexandru Kristály
Keyword(s):  
Convex Cones ◽  
Sobolev Inequalities

Normality and Nuclearity of Convex Cones

Positivity ◽  
2007 ◽  
Vol 11 (3) ◽  
pp. 485-495
Author(s):  
Fatimetou mint El Mounir
Keyword(s):  
Convex Cones

Faces and duality in convex cones

1978 ◽  
Vol 6 (3) ◽  
pp. 161-169 ◽  
Author(s):  
George Phillip Barker
Keyword(s):  
Convex Cones
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