AbstractIn this paper, we consider strongly bounded linear operators on a finite dimensional probabilistic normed space and define the topological isomorphism between probabilistic normed spaces. Then we prove that every finite dimensional probabilistic normed space which is a topological vector space is complete
Probabilistic Metric spaces were introduced by Karl Menger [Alsina C., Schweizer B. and Sklar A.: "O...
We prove that every normed space, either according to the original definition by Šerstnev, or accord...
We consider finite products of probabilistic normed spaces. As is to be expected, the dominance rela...
Abstract. In this paper we redefined the definition of a bounded linear op-erator in probabilistic n...
Abstract. In this paper, new types of continuous linear operator, such as continuous, strongly conti...
Probabilistic normed spaces have been redefined by Alsina, Schweizer, and Sklar. We give a detailed ...
We use the definition of probabilistic normed space (briefly, PN space) proposed by Alsina, Schweize...
Abstract. In this paper, we prove that in a finite dimensional probabilistic normed space, every two...
The notion of a probabilistic metric space corresponds to the situations when we do not know exactly...
In this paper, we study total boundedness in probabilistic normed space and we give criterion for to...
AbstractIn this paper we will reconsider the topological structure of Menger probabilistic normed sp...
AbstractIn this paper we will introduce two other topologies, coarser than the so-called strong topo...
We prove that every probabilistic normed space, either according to the original definition given by...
Quotient spaces of probabilistic normed spaces have never been considered. This note is a first atte...
We begin the study of probabilistic normed spaces (briefly PN spaces ) by giving several examples; (...
Probabilistic Metric spaces were introduced by Karl Menger [Alsina C., Schweizer B. and Sklar A.: "O...
We prove that every normed space, either according to the original definition by Šerstnev, or accord...
We consider finite products of probabilistic normed spaces. As is to be expected, the dominance rela...
Abstract. In this paper we redefined the definition of a bounded linear op-erator in probabilistic n...
Abstract. In this paper, new types of continuous linear operator, such as continuous, strongly conti...
Probabilistic normed spaces have been redefined by Alsina, Schweizer, and Sklar. We give a detailed ...
We use the definition of probabilistic normed space (briefly, PN space) proposed by Alsina, Schweize...
Abstract. In this paper, we prove that in a finite dimensional probabilistic normed space, every two...
The notion of a probabilistic metric space corresponds to the situations when we do not know exactly...
In this paper, we study total boundedness in probabilistic normed space and we give criterion for to...
AbstractIn this paper we will reconsider the topological structure of Menger probabilistic normed sp...
AbstractIn this paper we will introduce two other topologies, coarser than the so-called strong topo...
We prove that every probabilistic normed space, either according to the original definition given by...
Quotient spaces of probabilistic normed spaces have never been considered. This note is a first atte...
We begin the study of probabilistic normed spaces (briefly PN spaces ) by giving several examples; (...
Probabilistic Metric spaces were introduced by Karl Menger [Alsina C., Schweizer B. and Sklar A.: "O...
We prove that every normed space, either according to the original definition by Šerstnev, or accord...
We consider finite products of probabilistic normed spaces. As is to be expected, the dominance rela...
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