AbstractWe establish the following converse to the Eidelheit theorem: an unbounded closed and convex set of a real Hilbert space may be separated by a closed hyperplane from every other disjoint closed and convex set, if and only if it has a finite codimension and a non-empty interior with respect to its affine hull
In 1940 Paul Erds introduced the 'rational Hilbert space', which consists of all vectors in the real...
A known characterization of Hilbert spaces via isometric reflection vectors is based on the followin...
Every space is assumed to be separable and metric. A space is called (strongly) countably dimensiona...
It is shown that a separable Hilbert space can be covered by non-overlapping closed convex sets Ci w...
AbstractLet E denote the real inner product space that is the union of all finite dimensional Euclid...
summary:Let ${\mathbb{V}}$ be a separable real Hilbert space, $k \in {\mathbb{N}}$ with $k < \dim {\...
Let k be a fixed natural number. We show that if C is a closed and nonconvex set in Hilbert space su...
AbstractIn this paper we provide a ball separation property of bounded convex sets in a Hilbert spac...
Let k be a fixed natural number. In an earlier paper the authors show that if C is a closed and nonc...
Abstract. Let X be a topological group or a convex set in a linear metric space. We prove that X is ...
AbstractIt is shown that in a Hilbert space the only infinite equidistant systems of points are thos...
AbstractWe present an alternative proof of the following fact: the hyperspace of compact closed subs...
AbstractLet H be a real or complex infinite-dimensional Hilbert space. Then, for every closed ball B...
AbstractIn this paper we provide a ball separation property of bounded convex sets in a Hilbert spac...
In 1940 Paul Erds introduced the 'rational Hilbert space', which consists of all vectors in the real...
In 1940 Paul Erds introduced the 'rational Hilbert space', which consists of all vectors in the real...
A known characterization of Hilbert spaces via isometric reflection vectors is based on the followin...
Every space is assumed to be separable and metric. A space is called (strongly) countably dimensiona...
It is shown that a separable Hilbert space can be covered by non-overlapping closed convex sets Ci w...
AbstractLet E denote the real inner product space that is the union of all finite dimensional Euclid...
summary:Let ${\mathbb{V}}$ be a separable real Hilbert space, $k \in {\mathbb{N}}$ with $k < \dim {\...
Let k be a fixed natural number. We show that if C is a closed and nonconvex set in Hilbert space su...
AbstractIn this paper we provide a ball separation property of bounded convex sets in a Hilbert spac...
Let k be a fixed natural number. In an earlier paper the authors show that if C is a closed and nonc...
Abstract. Let X be a topological group or a convex set in a linear metric space. We prove that X is ...
AbstractIt is shown that in a Hilbert space the only infinite equidistant systems of points are thos...
AbstractWe present an alternative proof of the following fact: the hyperspace of compact closed subs...
AbstractLet H be a real or complex infinite-dimensional Hilbert space. Then, for every closed ball B...
AbstractIn this paper we provide a ball separation property of bounded convex sets in a Hilbert spac...
In 1940 Paul Erds introduced the 'rational Hilbert space', which consists of all vectors in the real...
In 1940 Paul Erds introduced the 'rational Hilbert space', which consists of all vectors in the real...
A known characterization of Hilbert spaces via isometric reflection vectors is based on the followin...
Every space is assumed to be separable and metric. A space is called (strongly) countably dimensiona...
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