3 papers
math.FA2024
Comparability of Metrics and Norms in terms of Basis of Exponential Vector Space
Dhruba Prakash Biswas, Priti Sharma, Sandip Jana +1
In this paper, we shall compare two metrics in terms of orderly dependence, a notion developed in exponential vector space in the article 'Basis and Dimension of Exponential Vector…
math.GR2024
Quotient of Topological Ternary Semigroup
S. Samanta, S. Jana, S. Kar
In this paper we introduce a quotient structure on topological ternary semigroup by defining a congruence suitably. We have found conditions under which this quotient structure bec…
math.FA2023
Characterisation of equivalent norms on a linear space using exponential vector space
Dhruba Prakash Biswas, Priti Sharma, Sandip Jana
In this paper we have found a necessary and sufficient condition for equivalence of two norms on a linear space using the theory of exponential vector space. Exponential vector spa…