Spaces of entire functions represented by vector valued Dirichlet series of two complex variables

Let Y be the space of all entire functions f : ℂ2 → E defined by the vector valued Dirichlet series, where E is a complex Banach algebra with the unit element. We study various topologies defined on the space Y and characterize continuous linear transformations on Y.

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Bibliographic Details
Published in:Acta et commentationes Universitatis Tartuensis de mathematica Vol. 19; no. 2; pp. 67 - 73
Main Authors: Sharma, Archna, Srivastava, G. S.
Format: Journal Article
Language:English
Published: Tartu University of Tartu Press 01.12.2015
Subjects:
Complex variables
Continuity (mathematics)
Dirichlet problem
Entire functions
Linear transformations
Mathematical analysis
Yttrium
ISSN:1406-2283, 2228-4699
Online Access:Get full text
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Description
Summary:Let Y be the space of all entire functions f : ℂ2 → E defined by the vector valued Dirichlet series, where E is a complex Banach algebra with the unit element. We study various topologies defined on the space Y and characterize continuous linear transformations on Y.
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ISSN:1406-2283
2228-4699
DOI:10.12697/ACUTM.2015.19.06