Results 21 to 30 of about 43 (43)

On some topological properties of generalized difference sequence spaces

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 11, Page 785-791, 2000., 2000
We obtain some topological results of the sequence spaces Δm(X), where Δm(X) = {x = (xk) : (Δmxk) ∈ X}, (m ∈ ℕ), and X is any sequence space. We compute the pα‐, pβ‐, and pγ‐duals of l∞, c, and c0 and we investigate the N‐(or null) dual of the sequence spaces Δm(l∞), Δm(c), and Δm(c0).
Mikail Et
wiley   +1 more source

Calculating norms in the spaces l∞(Γ)/c0(Γ) and l∞(Γ)/c(Γ)

International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 413-415, 1998., 1998
We explicitly compute norms in the quotient spaces l∞(Γ)/c0(Γ) and l∞(Γ)/c(Γ).
Roman Sznajder
wiley   +1 more source

Difference sequence spaces

International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 4, Page 701-706, 1998., 1996
In [1] for r ≥ 1 is studied. In this paper, we generalize this space to Sr(p, Δ) for a sequence of strictly positive reals. We give a characterization of the matrix classes (Sr(p, Δ), ℓ∞) and (Sr(p, Δ), ℓ1).
A. K. Gaur, Mursaleen
wiley   +1 more source

On X‐valued sequence spaces

International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 1, Page 47-50, 1997., 1995
Certain spaces of X‐valued sequences are introduced and some of their properties are investigated. Köthe‐ Toeplitz duals of these spaces are examined.
S. Pehlivan
wiley   +1 more source

Gliding hump properties and some applications

International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 1, Page 121-132, 1995., 1995
In this not we consider several types of gliding bump properties for a sequence space E and we consider the various implications between these properties. By means of examples we show that most of the implications are strict and they afford a sort of structure between solid sequence spaces and those with weakly sequentially complete β‐duals.
Johann Boos, Daniel J. Fleming
wiley   +1 more source

Sublinear functionals and Knopp′s core theorem

International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 3, Page 461-468, 1990., 1989
In this paper we are concerned with inequalities involving certain sublinear functionals on m, the space of real bounded sequences. Such inequalities being analogues of Knopp′s Core theorem.
C. Orhan
wiley   +1 more source

The closed neighborhood and filter conditions in solid sequence spaces

International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 4, Page 625-632, 1989., 1989
Let E be a topological vector space of scalar sequences, with topology τ; (E,τ) satisfies the closed neighborhood condition iff there is a basis of neighborhoods at the origin, for τ, consisting of sets whlch are closed with respect to the topology π of coordinate‐wise convergence on E; (E,τ) satisfies the filter condition iff every filter, Cauchy with
P. D. Johnson, Jr.
wiley   +1 more source

λ‐similar bases

International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 2, Page 227-232, 1987., 1987
Corresponding to an arbitrary sequence space λ, a sequence {xn} in a locally convex space (l.c.s.) (X, T) is said to be λ‐similar to a sequence {yn} in another l.c.s. (Y, S) if for an arbitrary sequence {αn} of scalars, {αn p(xn)} ϵ λ for all p ϵ DT⇔{αn q(yn)} ϵ λ, for all q ϵ DS, where DT and DS are respectively the family of all T and S continuous ...
Manjul Gupta, P. K. Kamthan
wiley   +1 more source

Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting. [PDF]

Banach J Math Anal, 2021
Boiti C, Jornet D, Oliaro A, Schindl G.
europepmc   +1 more source