Results 31 to 40 of about 75 (75)
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 +4 more
wiley +1 more source
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
Some Multiplier Sequence Spaces Over n-Normed Spaces Defined by a Musielak–Orlicz Function [PDF]
, 2014 In the present paper we introduce some multiplier sequence spaces over n-normed spaces defined by a Musielak–Orlicz function M = (Mk). We also study some topological properties and some inclusion relations between these spaces.
Sharma, Sunil K., Raj, Kuldip
core
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
Λ²-statistical convergence and its application to Korovkin second theorem
, 2019 In this paper, we use the notion of strong (N, λ²)−summability to generalize the concept of statistical convergence. We call this new method a λ²−statistical convergence and denote by S λ₂ the set of sequences which are λ²−statistically convergent.
LOKU, Valdete, BRAHA , Naim L.
core +1 more source
Certain new Factor Theorems for Infinite Series and Trigonometric Fourier Series
, 2020 In this paper, rstly we proved a general theorem dealing with absolute Riesz summability factors of innite series under weaker conditions. And secondly we applied it to the trigonometric Fourier series.
Bor, Huseyin
core
DUALITY FOR SOME LARGE SPACES OF ANALYTIC FUNCTIONS [PDF]
, 2017 We characterize the duals and biduals of the $L^p$-analogues $\mathcal{N}_\alpha^p$ of the standard Nevanlinna classes $\mathcal{N}_\alpha$, $\alpha\ge-1$ and $1\le p\lt \infty$.
Jarchow, H. +3 more
core
Intersections of Fréchet spaces and (LB)-spaces
, 2020 This article presents results about the class of locally convex spaces which are defined as the intersection E ∩F of a Fréchet space F and a countable inductive limit of Banach spaces E.
José Bonet, Angela A Albanese
core