On various Riesz-dual sequences for Schauder frames [PDF]
Heliyon, 2020 In this paper, we introduce various definitions of R-duals, to be called R-duals of type I, II, which leads to a generalization of the duality principle in Banach spaces.
Ali Reza Neisi, Mohammad Sadegh Asgari
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On a Characterization of Convergence in Banach Spaces with a Schauder Basis [PDF]
International Journal of Mathematics and Mathematical Sciences, 2021 “The method in the present paper is abstract and is phrased in terms of Banach spaces, linear operators, and so on. This has the advantage of greater simplicity in proof and greater generality in applications.” Jacob T ...
Marat V. Markin, Olivia B. Soghomonian
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Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space [PDF]
Abstract and Applied Analysis, 2010 We define and study the concepts of Schauder basis, separability, and approximation property in intuitionistic fuzzy normed spaces and establish some results related to these concepts.
M. Mursaleen +2 more
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A Characterization of Schauder Frames Which Are Near-Schauder Bases
Journal of Fourier Analysis and Applications, 2010 A basic problem of interest in connection with the study of Schauder frames in Banach spaces is that of characterizing those Schauder frames which can essentially be regarded as Schauder bases.
Bentuo Zheng
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The Haar System as a Schauder Basis in Spaces of Hardy–Sobolev Type [PDF]
Journal of Fourier Analysis and Applications, 2017 We show that, for suitable enumerations, the multivariate Haar system is a Schauder basis in the classical Sobolev spaces on $\mathbb R^d$ with integrability ...
Gustavo Garrigós +2 more
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On Schauder Bases Properties of Multiply Generated Gabor Systems [PDF]
Rocky Mountain Journal of Mathematics, 2015 Let $A$ be a finite subset of $L^2(\mathbb{R})$ and $p,q\in\mathbb{N}$. We characterize the Schauder basis properties in $L^2(\mathbb{R})$ of the Gabor system $$G(1,p/q,A)=\{e^{2\pi i m x}g(x-np/q) : m,n\in \mathbb{Z}, g\in A\},$$ with a specific ...
Nielsen, Morten
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Polynomial Schauder basis of optimal degree with Jacobi orthogonality
Journal of Approximation Theory, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jürgen Prestin
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Generalization of the space l(p) $l(p)$ derived by absolute Euler summability and matrix operators [PDF]
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
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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 ...
Wiesław Sliwa
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The application domain of difference type matrix D(r,0,s,0,t) on some sequence spaces [PDF]
Yugoslav Journal of Operations Research, 2021 We say that a regular graph G of order n and degree r ≥ 1 (which is not the complete graph) is strongly regular if there exist non-negative integers τ and θ such that |Si ∩ Sj | = τ for any two adjacent vertices i and j, and |Si ∩ Sj | = θ for any two ...
Paul Avinoy, Tripathy Binod Chandra
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