scholarly journals Random unconditional convergence of vector-valued Dirichlet series

2019 ◽  
Vol 277 (9) ◽  
pp. 3156-3178
Author(s):  
Daniel Carando ◽  
Felipe Marceca ◽  
Melisa Scotti ◽  
Pedro Tradacete
Keyword(s):  
Dirichlet Series ◽  
Unconditional Convergence ◽  
Random Unconditional Convergence ◽  
Vector Valued

Bohr’s strip for vector valued Dirichlet series

2008 ◽  
Vol 342 (3) ◽  
pp. 533-555 ◽  
Author(s):  
Andreas Defant ◽  
Domingo García ◽  
Manuel Maestre ◽  
David Pérez-García
Keyword(s):  
Dirichlet Series ◽  
Vector Valued

scholarly journals Vector-valued general Dirichlet series

2020 ◽  
Author(s):  
Daniel Carando ◽  
Andreas Defant ◽  
Felipe Marceca ◽  
Ingo Schoolmann
Keyword(s):  
Dirichlet Series ◽  
General Dirichlet Series ◽  
Vector Valued

scholarly journals On a class of vector-valued entire Dirichlet series in n variables

2018 ◽  
Vol 22 (1) ◽  
pp. 3-12 ◽  
Author(s):  
Lakshika Chutani ◽  
Niraj Kumar ◽  
Garima Manocha
Keyword(s):  
Banach Algebra ◽  
Dirichlet Series ◽  
Commutative Banach Algebra ◽  
Continuous Linear ◽  
Linear Functionals ◽  
Entire Dirichlet Series ◽  
Vector Valued ◽  
Class F

We consider a class F of entire Dirichlet series in n variables, whose coefficients belong to a commutative Banach algebra E. With a well defined norm, F is proved to be a Banach algebra with identity. Further results on quasi-invertibility, spectrum and continuous linear functionals are proved for elements belonging to F.

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