AbstractWe prove that the metric characterization of real normed spaces obtained by T. Oikhberg and H. Rosenthal can be obtained without a continuity assumption provided that the space is at least two-dimensional. In order to get this improvement we first need to understand the exceptional one-dimensional case
Some properties of completion classes for normed spaces are investigated, giving a topological resul...
This paper is basically concerned with the geometry of normed linear spaces. Approximation enters a...
In this paper, some necessary and sufficient conditions for an – normed spaces to be an –inner produ...
AbstractWe prove that the metric characterization of real normed spaces obtained by T. Oikhberg and ...
ABSTRACT. Let X be a linear space over a field K = R or C, equipped with a metric ρ. It is proved th...
In this article, we formalize topological properties of real normed spaces. In the first part, open ...
Summary. As application of complete metric space, we proved a Baire’s category theorem. Then we defi...
In this article, we considered bidual spaces and reflexivity of real normed spaces. At first we prov...
Summary. We construct a real normed space 〈V, �.�〉, where V is a real vector space and �. � is a nor...
In this article, the separability of real normed spaces and its properties are mainly formalized. In...
[EN] In this paper we introduce the notion of canonical partial metric associated to a norm to study...
eralization of the concept of a normed linear space which results when the homogeneity property of t...
Abstract. Constructive properties of uniform convexity, strict convexity, near convexity, and metric...
In this note we look at a number of infinite-dimensional R-vector spaces that arise in analysis, and...
We define a handy new modulus for normed spaces. More precisely, given any normed space X, we define...
Some properties of completion classes for normed spaces are investigated, giving a topological resul...
This paper is basically concerned with the geometry of normed linear spaces. Approximation enters a...
In this paper, some necessary and sufficient conditions for an – normed spaces to be an –inner produ...
AbstractWe prove that the metric characterization of real normed spaces obtained by T. Oikhberg and ...
ABSTRACT. Let X be a linear space over a field K = R or C, equipped with a metric ρ. It is proved th...
In this article, we formalize topological properties of real normed spaces. In the first part, open ...
Summary. As application of complete metric space, we proved a Baire’s category theorem. Then we defi...
In this article, we considered bidual spaces and reflexivity of real normed spaces. At first we prov...
Summary. We construct a real normed space 〈V, �.�〉, where V is a real vector space and �. � is a nor...
In this article, the separability of real normed spaces and its properties are mainly formalized. In...
[EN] In this paper we introduce the notion of canonical partial metric associated to a norm to study...
eralization of the concept of a normed linear space which results when the homogeneity property of t...
Abstract. Constructive properties of uniform convexity, strict convexity, near convexity, and metric...
In this note we look at a number of infinite-dimensional R-vector spaces that arise in analysis, and...
We define a handy new modulus for normed spaces. More precisely, given any normed space X, we define...
Some properties of completion classes for normed spaces are investigated, giving a topological resul...
This paper is basically concerned with the geometry of normed linear spaces. Approximation enters a...
In this paper, some necessary and sufficient conditions for an – normed spaces to be an –inner produ...
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