Results 21 to 30 of about 76 (75)

On matrix transformations concerning the Nakano vector‐valued sequence space

International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 11, Page 671-678, 2001., 2001
We give the matrix characterizations from Nakano vector‐valued sequence space ℓ(X, p) and Fr(X, p) into the sequence spaces Er, ℓ∞, ℓ¯∞(q), bs, and cs, where p = (pk) and q = (qk) are bounded sequences of positive real numbers such that Pk > 1 for all k ∈ ℕ and r ≥ 0.
Suthep Suantai
wiley   +1 more source

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

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

On matrix transformations and Hausdorff measure of noncompactness of Euler difference sequence spaces of fractional order

, 2021
In the present paper, some results on matrix mappings and Hausdorff measure of noncompactness of certain generalized Euler difference sequence spaces of fractional order are discussed.
Kadak, Ugur, Baliarsingh, P.
core  

Investigation of p‐Summable Fibonacci‐Type Difference Sequence Spaces and Their Duals via Modulus Functions

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduce new Fibonacci‐type difference sequence spaces defined by a modulus function f, specifically focusing on the sequence space lGu,v,f,p, where p = (pk) is an arbitrary bounded sequence of positive real numbers. These spaces consist of all sequences whose transforms under the generalized Fibonacci band matrix G(u, v) belong to ...
Sunil K. Sharma, Ravi Kumar, Faruk Özger, Merve Ersoy, Smritijit Sen   +4 more
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

Copper Lacus Sequence Spaces Associated With Operator Ideals and Their Geometric Properties

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this research, we introduce the regular Copper Lucas matrix operator, which is based on the Copper Lucas sequence. We investigate the sequence spaces c0(Γ) and c(Γ), as well as lpΓ for 1 ≤ p ≤ ∞, all of which are linked to the newly defined regular Copper Lucas matrix Γ.
Shiva Shah, Bipan Hazarika, Awd Bkri, Runda A. A. Bashir, Mohammad W. Alomari   +4 more
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