Add to ORKGWe prove that under some topological assumptions (e.g. if M has nonempty interior in X), a convex cone M in a linear topological space X is a linear subspace if and only if each convex functional on M has a convex extension on the whole space X
We study the relationship between maps and convexity, particularly from the following viewpoint: whe...
In this article we prove that every convex cone V of a real vector space X possessing an uncountable...
AbstractA closedness criterion for the image of a convex closed locally compact set under a convex m...
Let F be an ordered topological vector space (over R) whose positive cone F+ is weakly closed, and l...
There are several researches on a normed space N with the extension property : each continuous linea...
Let X be a topological vector space, Y subset of X a subspace, and A subset of X an open convex set ...
Given Y a subspace of a topological vector space X, and an open convex set 0 is an element of A subs...
Let Y be a subspace of a topological vector space X, and A subset of X an open convex set that inter...
Given Y a subspace of a topological vector space X, and an open convex set 0 is an element of A subs...
We show how our recent results on compositions of d.c. functions (and mappings) imply positive resul...
AbstractA locally convex cone is called linear over R (resp. C) if the scalar multiplication is exte...
Abstract. On a given cone (resp. vector space) Q we consider an initial topology and order induced b...
We survey various boundedness, differentiability and extendibility properties of convex functions, a...
A classical result by Crouzeix (1977) states that a real-valued function is convex if and only if an...
Let Y be a subspace of a real normed space X. We say that the couple (X,Y) has the CE-property ("con...
We study the relationship between maps and convexity, particularly from the following viewpoint: whe...
In this article we prove that every convex cone V of a real vector space X possessing an uncountable...
AbstractA closedness criterion for the image of a convex closed locally compact set under a convex m...
Let F be an ordered topological vector space (over R) whose positive cone F+ is weakly closed, and l...
There are several researches on a normed space N with the extension property : each continuous linea...
Let X be a topological vector space, Y subset of X a subspace, and A subset of X an open convex set ...
Given Y a subspace of a topological vector space X, and an open convex set 0 is an element of A subs...
Let Y be a subspace of a topological vector space X, and A subset of X an open convex set that inter...
Given Y a subspace of a topological vector space X, and an open convex set 0 is an element of A subs...
We show how our recent results on compositions of d.c. functions (and mappings) imply positive resul...
AbstractA locally convex cone is called linear over R (resp. C) if the scalar multiplication is exte...
Abstract. On a given cone (resp. vector space) Q we consider an initial topology and order induced b...
We survey various boundedness, differentiability and extendibility properties of convex functions, a...
A classical result by Crouzeix (1977) states that a real-valued function is convex if and only if an...
Let Y be a subspace of a real normed space X. We say that the couple (X,Y) has the CE-property ("con...
We study the relationship between maps and convexity, particularly from the following viewpoint: whe...
In this article we prove that every convex cone V of a real vector space X possessing an uncountable...
AbstractA closedness criterion for the image of a convex closed locally compact set under a convex m...