Add to ORKGAbstract: We consider the spaceM(X) of separable measures on the Borel σ-algebraB(X) of a metric space X. The space M(X) is furnished with the Kantorovich–Rubinshtĕın metric known also as the “Hutchinson distance ” (see [1]). We prove that M(X) is complete if and only if X is complete. We consider applications of this theorem in the theory of selfsimilar fractals
The aim of this paper is to provide a new framework for the study of measures of noncompactness in g...
This paper defines the Hausdorff metric on a closed and bounded subsets compact metric space. Throug...
We investigate properties of the class of compact spaces on which every regular Borel measure is sep...
AbstractIn this note we prove that the Hausdorff distance between compact sets and the Kantorovich d...
In this note we prove that the Hausdorff distance between compact sets and the Kantorovich distance ...
The primary objective of this paper is to consider a metric space (X,d) that is not complete and ana...
Some properties of the Hausdorff distance in complete metric spaces are discussed. Results obtained ...
For a countable product of complete separable metric spaces with a topology induced by a uniform met...
Some properties of the Hausdorff distance in complete metric spaces are discussed. Results obtained ...
A new metric is introduced on the set of all sub-σ-algebras of a complete probability space from fun...
AbstractIn this note we prove that the Hausdorff distance between compact sets and the Kantorovich d...
A~natural strengthening of the completeness hypothesis, called B-completeness, allows us to extend t...
A~natural strengthening of the completeness hypothesis, called B-completeness, allows us to extend t...
Abstract. A natural strengthening of the completeness hypothesis, called B-completeness, allows us t...
This thesis is broadly divided in two parts. In the first part we give a survey of various distance...
The aim of this paper is to provide a new framework for the study of measures of noncompactness in g...
This paper defines the Hausdorff metric on a closed and bounded subsets compact metric space. Throug...
We investigate properties of the class of compact spaces on which every regular Borel measure is sep...
AbstractIn this note we prove that the Hausdorff distance between compact sets and the Kantorovich d...
In this note we prove that the Hausdorff distance between compact sets and the Kantorovich distance ...
The primary objective of this paper is to consider a metric space (X,d) that is not complete and ana...
Some properties of the Hausdorff distance in complete metric spaces are discussed. Results obtained ...
For a countable product of complete separable metric spaces with a topology induced by a uniform met...
Some properties of the Hausdorff distance in complete metric spaces are discussed. Results obtained ...
A new metric is introduced on the set of all sub-σ-algebras of a complete probability space from fun...
AbstractIn this note we prove that the Hausdorff distance between compact sets and the Kantorovich d...
A~natural strengthening of the completeness hypothesis, called B-completeness, allows us to extend t...
A~natural strengthening of the completeness hypothesis, called B-completeness, allows us to extend t...
Abstract. A natural strengthening of the completeness hypothesis, called B-completeness, allows us t...
This thesis is broadly divided in two parts. In the first part we give a survey of various distance...
The aim of this paper is to provide a new framework for the study of measures of noncompactness in g...
This paper defines the Hausdorff metric on a closed and bounded subsets compact metric space. Throug...
We investigate properties of the class of compact spaces on which every regular Borel measure is sep...