Results 21 to 30 of about 343 (70)

Dual pairs of sequence spaces

International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 1, Page 9-23, 2001., 2001
The paper aims to develop for sequence spaces E a general concept for reconciling certain results, for example inclusion theorems, concerning generalizations of the Köthe‐Toeplitz duals E×(×∈{α, β}) combined with dualities (E, G), G ⊂ E×, and the SAK‐property (weak sectional convergence).
Johann Boos, Toivo Leiger
wiley   +1 more source

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

Generalized functions as sequence spaces with ultranorms

, 2006
We review our recent formulation of Colombeau type algebras as Hausdorff sequence spaces with ultranorms, defined by sequences of exponential weights.
Hasler, Maximilian F.
core   +3 more sources

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

Comparing maximal mean values on different scales [PDF]

, 2015
When computing the average speed of a car over different time periods from given GPS data, it is conventional wisdom that the maximal average speed over all time intervals of fixed length decreases if the interval length increases.
Havenith, Thomas, Scholtes, Sebastian
core   +1 more source

Embeddings of ultradistributions and periodic hyperfunctions in Colombeau type algebras through sequence spaces

, 2002
In a recent paper, we gave a topological description of Colombeau type algebras introducing algebras of sequences with exponential weights. Embeddings of Schwartz' spaces into the Colombeau algebra G are well known, but for ultradistribution and periodic
Delcroix, Antoine, Hasler, Maximilian F., Pilipović, Stevan, Valmorin, Vincent   +3 more
core   +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