AbstractIn this paper, in connection with the known result of Baker and Vogt, we get if f:X→Y preserves equality of distance with dimension X⩾2 and Y is strictly convex, the range of f contains a segment, then f is affine
Abstract. In this paper, Aleksandrov problem of conservative distances is solved for positively homo...
We show that a subset C of the euclidean space which agrees with the closure of its interior is conv...
Let V and X be Hausdorff, locally convex, real, topological vector spaces with dimV " 1. It is ...
In this paper, we consider 2-isometries, 2-continuous mappings and mappings preserving equality of 2...
AbstractWe study the stability problem for mappings satisfying the equation ‖f(x−y)‖=‖f(x)−f(y)‖. As...
We study the relationship between maps and convexity, particularly from the following viewpoint: whe...
The distance from a given point to the solution set of a system of strict and nonstrict inequalities...
Abstract. We consider two different notions of convexity of metric spaces, namely (strict/uniform) b...
We give a description of an affine mapping T involving con-tact pairs of two general convex bodies K...
summary:If $X$ is a convex surface in a Euclidean space, then the squared intrinsic distance functi...
Let mu be a measure on a measure space (X, Lambda) with values in R-n and f be the density of mu wit...
Let μ be a measure on a measure space (X,Λ) with values in Rnandfbe the density of μ with respect to...
AbstractLet μ be a measure on a measure space (X,Λ) with values in Rnandfbe the density of μ with re...
Abstract. Let X and Y be normed linear spaces. A mapping T: X → Y is called preserving the distance ...
AbstractLet φ:X→Y be an affine continuous mapping of a compact convex set X onto a compact convex se...
Abstract. In this paper, Aleksandrov problem of conservative distances is solved for positively homo...
We show that a subset C of the euclidean space which agrees with the closure of its interior is conv...
Let V and X be Hausdorff, locally convex, real, topological vector spaces with dimV " 1. It is ...
In this paper, we consider 2-isometries, 2-continuous mappings and mappings preserving equality of 2...
AbstractWe study the stability problem for mappings satisfying the equation ‖f(x−y)‖=‖f(x)−f(y)‖. As...
We study the relationship between maps and convexity, particularly from the following viewpoint: whe...
The distance from a given point to the solution set of a system of strict and nonstrict inequalities...
Abstract. We consider two different notions of convexity of metric spaces, namely (strict/uniform) b...
We give a description of an affine mapping T involving con-tact pairs of two general convex bodies K...
summary:If $X$ is a convex surface in a Euclidean space, then the squared intrinsic distance functi...
Let mu be a measure on a measure space (X, Lambda) with values in R-n and f be the density of mu wit...
Let μ be a measure on a measure space (X,Λ) with values in Rnandfbe the density of μ with respect to...
AbstractLet μ be a measure on a measure space (X,Λ) with values in Rnandfbe the density of μ with re...
Abstract. Let X and Y be normed linear spaces. A mapping T: X → Y is called preserving the distance ...
AbstractLet φ:X→Y be an affine continuous mapping of a compact convex set X onto a compact convex se...
Abstract. In this paper, Aleksandrov problem of conservative distances is solved for positively homo...
We show that a subset C of the euclidean space which agrees with the closure of its interior is conv...
Let V and X be Hausdorff, locally convex, real, topological vector spaces with dimV " 1. It is ...