Geodesic
On the Dirichlet matrix operators in sequence spaces
Artur Sowa1
1Department of Mathematics and Statistics University of Saskatchewan 106 Wiggins Road Saskatoon, SK S7N 5E6, Canada
Applicationes Mathematicae, Tome 44 (2017) no. 2, pp. 185-196

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DOI

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 signal processing via fast computational algorithms. It was observed in a prior publication that certain types of D-matrix operators are continuous in $\ell _2$ (Sowa 2013). In this work the focus is on a complementary case that arises in relation to the special D-matrix associated with Riemann’s zeta function, and on its continuity properties in suitable Hilbert and Banach sequence spaces.
DOI : 10.4064/am2328-4-2017
Keywords: study analytic properties certain special operators referred d matrix operators which arise naturally classical dirichlet series there number incentives work including applicability d matrix operators signal processing via fast computational algorithms observed prior publication certain types d matrix operators continuous ell sowa work focus complementary arises relation special d matrix associated riemann zeta function its continuity properties suitable hilbert banach sequence spaces

Artur Sowa  1

1 Department of Mathematics and Statistics University of Saskatchewan 106 Wiggins Road Saskatoon, SK S7N 5E6, Canada 
Artur Sowa. On the Dirichlet matrix operators in sequence spaces. Applicationes Mathematicae, Tome 44 (2017) no. 2, pp. 185-196. doi: 10.4064/am2328-4-2017
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