In this paper we study a class of convex sets which are called closed pseudo-cones and study a new duality of this class. It turns out that the duality characterizes closed pseudo-cones and is essentially the only possible abstract duality of them.The characterization of the duality is corresponding to the classification of endomorphisms closed pseudo-cones.Comment: 26 page
In this paper we revisit the question of when the continuous linear image of a fixed closed convex c...
The author proves that the closed convex cones in a Hilbert space form an ortholattice (with the ord...
This paper deals with the characterization of the sums of compact convex sets with linear subspaces...
AbstractThe asymptotic duality theory of linear programming over closed convex cones [4] is extended...
AbstractLet C be a convex set in Rn. For each y ϵ C, the cone of C at y, denoted by cone(y, C), is t...
AbstractTheodore Motzkin proved, in 1936, that any polyhedral convex set can be expressed as the (Mi...
AbstractA theorem of Krasnoselśkij says that in every closed convex cone of finite dimension contain...
In the paper, we describe various applications of closedness and duality theorems from previous work...
[[abstract]]Let C be a convex set in Rn. For each yϵC, the cone of C at y, denoted by cone(y, C), is...
This paper will generalize what may be termed the “geometric duality theory” of real pre-ordered Ban...
Abstract. We consider the problem of the semidefinite representation of a class of non-compact basic...
When is the linear image of a closed convex cone closed? We present very simple, and intuitive neces...
We present a generalization of the notion of neighborliness to non-polyhedral convex cones. Although...
Abstract. This paper deals with the characterization of the sums of compact convex sets with linear ...
1 Abstract. In this paper we revisit the question of when the continuous linear image of a fixed clo...
In this paper we revisit the question of when the continuous linear image of a fixed closed convex c...
The author proves that the closed convex cones in a Hilbert space form an ortholattice (with the ord...
This paper deals with the characterization of the sums of compact convex sets with linear subspaces...
AbstractThe asymptotic duality theory of linear programming over closed convex cones [4] is extended...
AbstractLet C be a convex set in Rn. For each y ϵ C, the cone of C at y, denoted by cone(y, C), is t...
AbstractTheodore Motzkin proved, in 1936, that any polyhedral convex set can be expressed as the (Mi...
AbstractA theorem of Krasnoselśkij says that in every closed convex cone of finite dimension contain...
In the paper, we describe various applications of closedness and duality theorems from previous work...
[[abstract]]Let C be a convex set in Rn. For each yϵC, the cone of C at y, denoted by cone(y, C), is...
This paper will generalize what may be termed the “geometric duality theory” of real pre-ordered Ban...
Abstract. We consider the problem of the semidefinite representation of a class of non-compact basic...
When is the linear image of a closed convex cone closed? We present very simple, and intuitive neces...
We present a generalization of the notion of neighborliness to non-polyhedral convex cones. Although...
Abstract. This paper deals with the characterization of the sums of compact convex sets with linear ...
1 Abstract. In this paper we revisit the question of when the continuous linear image of a fixed clo...
In this paper we revisit the question of when the continuous linear image of a fixed closed convex c...
The author proves that the closed convex cones in a Hilbert space form an ortholattice (with the ord...
This paper deals with the characterization of the sums of compact convex sets with linear subspaces...
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