Results 21 to 30 of about 2,731,359 (291)
On topological properties of spaces obtained by the double band matrix
Open Mathematics, 2017 Let λ denote any one of the spaces ℓ∞ and ℓp and λ(Ť) be the domain of the band matrix Ť. We study ℓp(Ť) for 1 ≤ p ≤ ∞ and give some inclusions and its topological properties.
Zeren Suzan, Bektaş Çiğdem
doaj +1 more source
Communications in Advanced Mathematical Sciences, 2021 In this study, a special lower triangular matrix derived by combining Riesz matrix and Euler totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators ...
Mehmet Akif Bayrakdar, Merve İlkhan
doaj
Spaces Defined by Sequences [PDF]
Proceedings of the American Mathematical Society, 1976 The biquotient, countably biquotient, hereditarily quotient, and quotient images of q q -spaces are classified.
openaire +2 more sources
Hahn Sequence Space of Modals [PDF]
International Scholarly Research Notices, 2014 The history of modal intervals goes back to the very first publications on the topic of interval calculus. The modal interval analysis is used in Computer graphics and Computer Aided Design (CAD), namely, the computation of narrow bounds on Bezier and B-Spline curves.
Balasubramanian, T. +1 more
openaire +3 more sources
Packing constant for Cesàro-Orlicz sequence spaces [PDF]
, 2016 summary:The packing constant is an important and interesting geometric parameter of Banach spaces. Inspired by the packing constant for Orlicz sequence spaces, the main purpose of this paper is calculating the Kottman constant and the packing constant of
Ma, Zhen-Hua +2 more
core +1 more source
On some spaces of summable sequences and their duals
International Journal of Mathematics and Mathematical Sciences, 1986 Suppose that S is the space of all summable sequences α with ‖α‖S=supn≥0|∑j=n∞αj| and J the space of all sequences β of bounded variation with ‖β‖J=|β0|+∑j=1∞|βj−βj−1|.
Geraldo Soares de Souza, G. O. Golightly
doaj +1 more source
On Certain Sequence Spaces [PDF]
Canadian Mathematical Bulletin, 1981 AbstractIn this paper define the spaces l∞(Δ), c(Δ), and c0(Δ), where for instance l∞(Δ) = {x=(xk):supk |xk -xk + l|< ∞}, and compute their duals (continuous dual, α-dual, β-dual and γ-dual). We also determine necessary and sufficient conditions for a matrix A to map l∞(Δ) or c(Δ) into l∞ or c, and investigate related questions.
openaire +2 more sources
On the Domain of the Fibonacci Difference Matrix
Mathematics, 2019 Matrix F^ derived from the Fibonacci sequence was first introduced by Kara (2013) and the spaces lp(F) and l∞(F); (1 ≤ p < ∞) were examined. Then, Başarır et al. (2015) defined the spaces c0(F) and c(F) and Candan (2015) examined the
Fevzi Yaşar, Kuddusi Kayaduman
doaj +1 more source
Best Constants between Equivalent Norms in Lorentz Sequence Spaces [PDF]
, 2012 We find the best constants in inequalities relating the standard norm, the dual norm, and the norm ∥x∥(p,s):=inf{∑k∥x(k)∥p,s}, where the infimum is taken over all finite representations x=∑kx(k) in the classical Lorentz sequence spaces.
A. N. Marcoci +10 more
core +1 more source
Mersenne Matrix Operator and Its Application in $p-$Summable Sequence Space
Communications in Advanced Mathematical SciencesIn this study, it is introduced the regular Mersenne matrix operator which is obtained by using Mersenne numbers and examined sequence spaces described as the domain of this matrix in the space of $p$-summable sequences for $1\leq p \leq \infty$.
Sezer Erdem, Serkan Demiriz
doaj +1 more source