Mathematica Bohemica, Vol. 146, No. 3, pp. 279-288, 2021


On an entire function represented by multiple Dirichlet series

Lakshika Chutani

Received May 27, 2019.   Published online September 30, 2020.

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


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Affiliations:   Lakshika Chutani, Department of Mathematics, GD Goenka University, Sohna Gurgaon Road, Sohna, Haryana 122103, India, e-mail: lakshika91.chutani@gmail.com


 
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