Results 91 to 100 of about 9,778 (190)
On Some Properties of Banach Space-Valued Fibonacci Sequence Spaces
Communications in Advanced Mathematical SciencesIn this work, we give some results about the basic properties of the vector-valued Fibonacci sequence spaces. In general, sequence spaces with Banach space-valued cannot have a Schauder Basis unless the terms of the sequences are complex or real terms ...
Seçkin Yalçın, Yılmaz Yılmaz
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Examples of non-archimedean nuclear Frécheat spaces without a Schauder basis
Indagationes Mathematicae, 2000 This paper presents a solution of a long-standing problem in \(p\)-adic functional analysis. Let \(k\) be a non-archimedean, non-trivially valued field which is complete with respect to the metric induced by the valuation \(|\cdot |:K\to [0,\infty)\); let \(E\) be an infinite-dimensional Fréchet space of countable type, i.e., there is a countable set ...
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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 +1 more
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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
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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
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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
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Paranormed Motzkin sequence spaces
Dera Natung Government College Research JournalIn 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 +2 more
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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
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Remarks on the FPP in Banach spaces with unconditional Schauder basis
, 2023 This paper brings new results on the FPP in Banach spaces $X$ with a Schauder basis. We first deal with the problem of whether there is a Banach space isomorphic to $\co$ having the FPP. We show that the answer is negative if $X$ contains a pre-monotone basic sequence equivalent to the unit basis of $\co$.
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Evolution Differential Equations in Fr��chet Space with Schauder Basis
, 2014 We consider evolution differential equations in Fr chet spaces that possess unconditional Schauder basis and construct a version of the majorant functions method to obtain existence theorems for Cauchy problems. Applications to PDE and ODE have been considered.
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