Filomat 2003 Volume , Issue 17, Pages: 85-106
https://doi.org/10.2298/FIL0317085d
Full text (
387 KB)
Matrix transformations in the sets χ(Np, Nq) where χ is of the form sξ or sξo or sξ(c)
de Malafosse Bruno (LMAH Universite du Havre, I.U.T Le Havre, France)
Malkowsky Eberhard (Department of Mathematics, University of Giessen, Giessen, Germany / Departement of Mathematics, Faculty of Sciences and Mathematics, University of Niš)
In this paper we deal with matrix transformations mapping in either of the sets sα(Nq), sαo(Nq) or sα(c)(Nq). Then we study some properties of the sets sα(Np Nq) and sαo(Np Nq) and give a characterization of matrix transformations in these spaces. These results generalize those given in [11, 14, 16].
Keywords: infinite linear system, operator of first difference, Banach algebra with identity, BK space