一类有n个变量的向量值狄利克雷级数

IF 0.3 Q4 MATHEMATICS Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2018-06-10 DOI:10.12697/ACUTM.2018.22.01

L. Chutani, Niraj Kumar, Garima Manocha

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引用次数: 1

摘要

考虑一类有n个变量的整个Dirichlet级数F，其系数属于可交换的Banach代数e，用一个定义良好的范数证明了F是一个具有恒等的Banach代数。进一步证明了F类元的拟可逆性、谱和连续线性泛函的结果。

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

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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