2017Applicationes MathematicaeOpen access

On the Dirichlet matrix operators in sequence spaces

Artur Sowa

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Abstract

We study the analytic properties of certain special operators, referred to as D-matrix operators, which arise naturally from classical Dirichlet series. There are a number of incentives for this work, including the applicability of D-matrix operators to s

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We study the analytic properties of certain special operators, referred to as D-matrix operators, which arise naturally from classical Dirichlet series. There are a number of incentives for this work, including the applicability of D-matrix operators to s

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Available abstract

We study the analytic properties of certain special operators, referred to as D-matrix operators, which arise naturally from classical Dirichlet series. There are a number of incentives for this work, including the applicability of D-matrix operators to s

Key concepts: Mathematics, Operator theory, Pure mathematics, Matrix (chemical analysis), Sequence (biology), Dirichlet series, Matrix function, Spectral theorem

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