On an entire function represented by multiple Dirichlet series

Chutani, Lakshika

Mathematica Bohemica, Tome 146 (2021) no. 3, pp. 279-288

Abstract (VO)

Consider the space $L$ of entire functions represented by multiple Dirichlet series that becomes a non uniformly convex Banach space which is also proved to be dense, countable and separable. Continuing further, for the given space $L$ the characterization of bounded linear transformations in terms of matrix and characterization of linear functional has been obtained.

Détail

DOI : 10.21136/MB.2020.0080-19

Classification : 30B50, 30D10
Keywords: Dirichlet series; Banach algebra

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