Add to ORKGAbstract. On the one hand, Hahn’s theorem tells that each convergence domain containing χ, the set of all sequences of 0′s and 1′s, includes `∞, the set of all bounded sequences. On the other hand, it is easy to verify that for each unbounded sequence x there exists a convergence domain that includes ` ∞ but does not contain x. Thus ` ∞ is the intersection of all convergence domains containing χ. In this sense ` ∞ is the ‘summability hull ’ of χ. In the present paper the ‘summability hull ’ of arbitrarily given sequence spaces is studied. 1
none2We study conditions on embedded sequences of sets in Banach spaces, assuring that their interse...
The sequence spaces rf and rf0, more general and comprehensive than the almost convergent sequence s...
AbstractFor every space X, let H(X) denote its hyperspace. A selection for X is a mapping σ: H(X) → ...
AbstractThis paper continues the joint investigation by Bennett et al. (2001) of the extent to which...
We introduce the spaces of -null, -convergent, and -bounded sequences. We examine some topological p...
We deal with space of sequences generalizing the well-known spaces w∞p(λ), c∞(λ,μ), replacing the op...
The BK-space of all sequences is given as x = (x(k)) such that Sigma(infinity)(k=1)k vertical bar x(...
In [7] Maddox generalized the spaces c0, c, ?1, ?? by adding powers pk (k ? ?) in the definitions of...
Matrix summability is arguable the most important tool used to char-acterize sequence spaces. In 199...
In the present paper, we introduce some sequence spaces using ideal convergence and Musielak-Orlicz ...
AbstractLet X be a real Banach space. Let {Gγ:γ∈Γ} be a family of closed, convex subsets of X. We sh...
In this work, we define new sequence spaces by using the matrix obtained by product of factorable ma...
Given any sequence z = (zn)n≥1 of positive real numbers and any set E of complex sequences, we write...
Let lambda denote any of the classical spaces l(infinity), c, c(0), and l(p) of bounded, convergent,...
I give details of some examples and further results relevant to [Frp92]. For notation see [Frp92]. S...
none2We study conditions on embedded sequences of sets in Banach spaces, assuring that their interse...
The sequence spaces rf and rf0, more general and comprehensive than the almost convergent sequence s...
AbstractFor every space X, let H(X) denote its hyperspace. A selection for X is a mapping σ: H(X) → ...
AbstractThis paper continues the joint investigation by Bennett et al. (2001) of the extent to which...
We introduce the spaces of -null, -convergent, and -bounded sequences. We examine some topological p...
We deal with space of sequences generalizing the well-known spaces w∞p(λ), c∞(λ,μ), replacing the op...
The BK-space of all sequences is given as x = (x(k)) such that Sigma(infinity)(k=1)k vertical bar x(...
In [7] Maddox generalized the spaces c0, c, ?1, ?? by adding powers pk (k ? ?) in the definitions of...
Matrix summability is arguable the most important tool used to char-acterize sequence spaces. In 199...
In the present paper, we introduce some sequence spaces using ideal convergence and Musielak-Orlicz ...
AbstractLet X be a real Banach space. Let {Gγ:γ∈Γ} be a family of closed, convex subsets of X. We sh...
In this work, we define new sequence spaces by using the matrix obtained by product of factorable ma...
Given any sequence z = (zn)n≥1 of positive real numbers and any set E of complex sequences, we write...
Let lambda denote any of the classical spaces l(infinity), c, c(0), and l(p) of bounded, convergent,...
I give details of some examples and further results relevant to [Frp92]. For notation see [Frp92]. S...
none2We study conditions on embedded sequences of sets in Banach spaces, assuring that their interse...
The sequence spaces rf and rf0, more general and comprehensive than the almost convergent sequence s...
AbstractFor every space X, let H(X) denote its hyperspace. A selection for X is a mapping σ: H(X) → ...