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GENERALIZED ORLICZ SEQUENCE SPACES

open access: yesBarekeng, 2023
Orlicz spaces were first introduced by Z. W. Birnbaum and W. Orlicz as an extension of Labesgue space in 1931. There are two types of Orlicz spaces, namely continuous Orlicz spaces and Orlicz sequence spaces.
Cece Kustiawan   +5 more
doaj   +1 more source

On the geometry of the multiplier space of ℓpA

open access: yesConcrete Operators, 2022
For p ∈ (1, ∞) \ {2}, some properties of the space ℳp of multipliers on ℓpA are derived. In particular, the failure of the weak parallelogram laws and the Pythagorean inequalities is demonstrated for ℳp.
Felder Christopher, Cheng Raymond
doaj   +1 more source

Super-critical Hardy-Littlewood inequalities for multilinear forms [PDF]

open access: yesAnais da Academia Brasileira de Ciências, 2023
The multilinear Hardy-Littlewood inequalities provide estimates for the sum of the coefficients of multilinear forms T ∶ ℓ p 1 n × ⋯ × ℓ p m n → R ( or C ) when 1 / p 1 × ⋯ × 1 / p m < 1.
DANIEL NÚÑEZ-ALARCÓN   +2 more
doaj   +1 more source

Zero product preserving bilinear operators acting in sequence spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2020
Consider a couple of sequence spaces and a product function $-$ a canonical bilinear map associated to the pointwise product $-$ acting in it. We analyze the class of "zero product preserving" bilinear operators associated with this product, that are ...
E. Erdoğan
doaj   +1 more source

Strongly Summable Vector-Valued Sequence Spaces Defined by 2-modular

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2021
Summability is an important concept in sequence spaces. One summability concept is strongly Cesaro summable. In this paper, we study a subset of the set of all vector-valued sequence in 2-modular space.
Burhanudin Arif Nurnugroho   +1 more
doaj   +1 more source

Integrated and differentiated sequence spaces [PDF]

open access: yes, 2014
In this paper, we investigate integrated and differentiated sequence spaces which emerge from the concept of the space bv of sequences of bounded variation.The integrated and differentiated sequence spaces which was initiated by Goes and Goes.
Kirişci, Murat
core   +2 more sources

Balls in Sequence Spaces

open access: yesМоделирование и анализ информационных систем, 2015
We introduce a new metric on a space of right-sided infinite sequences drawn from a finite alphabet. Emerging from a problem of entropy estimation of a discrete stationary ergodic process, the metric is important on its own part and exhibits some ...
E. A. Timofeev
doaj   +3 more sources

Difference sequence spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
In [1] Sr(Δ):={x=(xk):(kr|Δxk|)k=1∞∈c0} 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
doaj   +1 more source

Optimal recovery of operator sequences

open access: yesМатематичні Студії, 2021
In this paper we solve two problems of optimal recovery based on information given with an error. First is the problem of optimal recovery of the class $W^T_q = \{(t_1h_1,t_2h_2,\ldots)\,\colon \,\|h\|_{\ell_q}\le 1\}$, where $1\le q < \infty$ and $t_1 ...
V. F. Babenko   +2 more
doaj   +1 more source

Characterizations of Matrix and Compact Operators on BK Spaces

open access: yesUniversal Journal of Mathematics and Applications, 2023
In the present paper, by estimating operator norms, we give some characterizations of infinite matrix classes $\left( \left\vert E_{\mu }^{r}\right\vert _{q},\Lambda\right) $ and $\left( \left\vert E_{\mu }^{r}\right\vert _{\infty },\Lambda\right ...
Fadime Gökçe
doaj   +1 more source

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