In this paper we give some properties of Banach algebras of bounded operators B(X), when X is a BK space. We then study the solvability of the equation Ax = b for b âˆˆ {sÎ±, sÎ±, s Î± , lp(Î±)} with Î± âˆˆâ€¦ (More)

In this paper we deal with sets of sequences generalizing the well known spaces w p âˆž (Î») = { X/C (Î») ( |X |p ) âˆˆ lâˆž } and câˆž (Î») = (wâˆž (Î»))1(Î»). We consider the set ( w p Î± (Î») ) 1(Î¼) and the casesâ€¦ (More)

where B=(bn)nâ‰¥1 is a one-columnmatrix andX the unknown, see [2, 3, 5, 6, 7, 9]. Equation (1.2) can be written in the form AX = B, where AX = (An(X))nâ‰¥1. In this paper, we will also consider A as anâ€¦ (More)

In this paper we extend some of our recent results given in [15], so we consider a matrix transformation A = (ank)n,kâ‰¥1 and say that a sequence X = (xn)nâ‰¥1 is A-statistically convergent to L âˆˆ V withâ€¦ (More)

We are interested in the study of the first difference operator. This one can be represented by the infinite matrix âˆ†. Many authors have given results on this last operator, see for instanceâ€¦ (More)

whenever the series are convergent for all nâ‰¥ 1. For any given subsets X , Y of s, we will say that the operator represented by the infinite matrix A = (anm)n,mâ‰¥1 maps X into Y that is Aâˆˆ (X ,Y), ifâ€¦ (More)

In this paper we establish a relation between the notion of operators of analytic semigroups and matrix transformations from a set of sequences into wâˆž. We get extensions of some results given byâ€¦ (More)

where B = (bn)nâ‰¥1 is a one-column matrix and X the unknown, see [1, 2, 3, 4, 5, 6, 7, 8, 10]. Equation (1.2) can be written in the form AX = B, where AX = (An(X))nâ‰¥1. In this paper, we will alsoâ€¦ (More)