Results 31 to 40 of about 70 (66)
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
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 +4 more
wiley +1 more source
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
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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
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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
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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
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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