Results 91 to 100 of about 8,297,223 (199)

Generalization of the space l(p) $l(p)$ derived by absolute Euler summability and matrix operators

Journal of Inequalities and Applications, 2018
The sequence space l(p) $l(p)$ having an important role in summability theory was defined and studied by Maddox (Q. J. Math. 18:345–355, 1967). In the present paper, we generalize the space l(p) $l(p)$ to the space |Eϕr|(p) $\vert E_{\phi }^{r} \vert (p)$
Fadime Gökçe, Mehmet Ali Sarıgöl
doaj   +1 more source

On the Generalized Bm-Riesz Difference Sequence Space and β-Property

Journal of Inequalities and Applications, 2009
We introduce the generalized Riesz difference sequence space rq(p,Bm) which is defined by rq(p,Bm)={x=(xk)∈w:Bmx∈rq(p)} where rq(p) is the Riesz sequence space defined by Altay and Başar.
Metin Başarir, Mustafa Kayikçi   +1 more
doaj   +1 more source

The binomial sequence spaces which include the spaces ℓ p $\ell_{p}$ and ℓ ∞ $\ell_{\infty}$ and geometric properties

Journal of Inequalities and Applications, 2016
In this work, we introduce the binomial sequence spaces b p r , s $b^{r,s}_{p}$ and b ∞ r , s $b^{r,s}_{\infty}$ which include the spaces ℓ p $\ell_{p}$ and ℓ ∞ $\ell _{\infty}$ , in turn. Moreover, we show that the spaces b p r , s $b^{r,s}_{p}$ and b ∞
Mustafa Cemil Bişgin
doaj   +1 more source

Perturbation of Schauder frames and besselian Schauder frames in Banach spaces [PDF]

, 2023
We consider the stability of Schauder frames and besselian Schauder frames under perturbations. Our results are inspirit close to the results of Heil [18]
Karkri, Rafik, Zoubeir, Hicham, Kabbaj, Samir   +2 more
core  

On the Nevanlinna's Theory for Vector-Valued Mappings

Abstract and Applied Analysis, 2010
The purpose of this paper is to establish the first and second fundamental theorems for an E-valued meromorphic mapping from a generic domain D⊂ℂ to an infinite dimensional complex Banach space E with a Schauder basis. It is a continuation of the work of
Zu-Xing Xuan, Nan Wu
doaj   +1 more source

The binomial sequence spaces of nonabsolute type

Journal of Inequalities and Applications, 2016
In this paper, we introduce the binomial sequence spaces b 0 r , s $b^{r,s}_{0}$ and b c r , s $b^{r,s}_{c}$ of nonabsolute type which include the spaces c 0 $c_{0}$ and c, respectively.
Mustafa Cemil Bişgin
doaj   +1 more source

The universal Banach space with a $K$-suppression unconditional basis [PDF]

, 2018
summary:Using the technique of Fraïssé theory, for every constant $K\ge 1$, we construct a universal object $\mathbb U_K$ in the class of Banach spaces possessing a normalized $K$-suppression unconditional Schauder ...
Garbulińska-Wegrzyn, Joanna, Banakh, Taras   +1 more
core   +1 more source

Paranormed Motzkin sequence spaces

Dera Natung Government College Research Journal
In this article, it is obtained two new paranormed sequence spaces $c_0(\mathcal{M}, \mathfrak{p})$ and $c(\mathcal{M},\mathfrak{p})$ by the aid of the conservative Motzkin matrix operator $\mathcal{M}$ and is examined some topological properties of ...
Sezer Erdem, Serkan Demiriz, Hacer Bilgin Ellidokuzoğlu   +2 more
doaj   +1 more source

Characterizing the R-duality of g-frames

Journal of Inequalities and Applications, 2019
In this paper, we define the g-Riesz-dual of a given special operator-valued sequence with respect to g-orthonormal bases for a separable Hilbert space.
Liang Li, Pengtong Li
doaj   +1 more source

Testimonial Schauder Township

Transcript: "Everywhere in Schauder Township you are greeted by the smilling faces of contented ...

core