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

Archna Sharma | Zendy; G. S. Srivastava | Zendy

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

Author(s) -

Archna Sharma,

G. S. Srivastava

Publication year - 2015

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.276

H-Index - 6

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2015.19.06

Subject(s) - mathematics , dirichlet series , banach space , series (stratigraphy) , vector space , space (punctuation) , pure mathematics , unit (ring theory) , general dirichlet series , dirichlet distribution , element (criminal law) , mathematical analysis , computer science , political science , law , paleontology , mathematics education , biology , boundary value problem , operating system

Let Y be the space of all entire functions f : C-2 -> 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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