Results 1 to 10 of about 8,297,223 (199)
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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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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Schauder Basis in a Locally k-Convex Space and Perfect Sequence Spaces
Proyecciones, 2011 In this work, we are dealing with the natural topology in a perfect sequence space and the transfert of topologies of a locally K — convex space E with a Schauder basis (ei )i to such Space.
Osvaldo Venegas, Abdelkhalek El amrani
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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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Journal of Mathematical Analysis and Applications, 2017 Let X be a Banach space with an 1-unconditional Schauder basis and without isomorphic copies of . We obtain an equivalent condition to weak compactness by means of a fixed-point theorem. Namely: a closed convex bounded subset C of X is weakly compact if
Tomás Domínguez Benavides
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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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Constraint Qualification with Schauder Basis for Infinite Programming Problems
Applied Mathematics and Optimization, 2023 We consider infinite programming problems with constraint sets defined by systems of infinite number of inequalities and equations given by continuously differentiable functions defined on Banach spaces.
E. Bednarczuk +2 more
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A Schauder basis for $$L_2$$ consisting of non-negative functions [PDF]
Mathematische Annalen, 2020 We prove that $L_2(\mathbb{R})$ contains a Schauder basis of non-negative functions. Similarly, $L_p(\mathbb{R})$ contains a Schauder basic sequence of non-negative functions such that $L_p(\mathbb{R})$ embeds into the closed span of the sequence.
D. Freeman, A. Powell, M. A. Taylor
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The Haar System as a Schauder Basis in Spaces of Hardy–Sobolev Type [PDF]
Journal of Fourier Analysis and Applications, 2016 We show that, for suitable enumerations, the Haar system is a Schauder basis in the classical Sobolev spaces in $${\mathbb R}^d$$Rd with integrability ...
G. Garrigós, A. Seeger, T. Ullrich
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Binary Operations in Metric Spaces Satisfying Side Inequalities
Mathematics, 2021 The theory of metric spaces is a convenient and very powerful way of examining the behavior of numerous mathematical models. In a previous paper, a new operation between functions on a compact real interval called fractal convolution has been introduced.
María A. Navascués +2 more
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