Results 51 to 60 of about 482 (178)
The gE-Approximation Property Determined by the Banach Space E = ℓq(ℓp)
MathematicsWe study the gE-approximation property for the Banach space E=ℓq(ℓp), which is an extension of Saphar’s p-approximation property. We establish some characterizations of the gE-approximation property using the space of E-summing operators, which is an ...
Ju Myung Kim
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A Schauder Basis for Multiparameter Persistence
Certain classes of multiparameter persistence modules may be encoded as signed barcodes, represented as points in a polyhedral subset of Euclidean space, we refer to as signed persistence diagrams. These signed persistence diagrams exist in the dual space of compactly supported, Lipschitz functionals on a polyhedral pair.
Bubenik, Peter, Ross, Zachariah
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On an orthogonal bivariate trigonometric Schauder basis for the space of continuous functions
Journal of Approximation Theory, 2019 The main result of the article is the construction of an orthogonal trigonometric Schauder basis in the space of all continuous functions on the torus \(C(T^2)\) with the smallest growth of the polynomial degree. This is achieved by using ideas involving a dyadic anisotropic periodic multiresolution analysis.
Derevianko, Nadiia +2 more
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Some Paranormed Sequence Spaces Which Involve Arithmetic Divisor Sum Function
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Let Dr, r ≥ 0, be a triangle and q = (qj) be a bounded sequence of strictly positive numbers. In this paper, we study the algebraic and topological properties of the paranormed sequence space ℓDr,q, generated by the triangle Dr over Maddox′s space ℓ(q). We identify the Schauder basis as well as the α‐, β‐, and γ‐duals of the space ℓDr,q. One section is
Ting Gan +5 more
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Isomorphic Classification of Reflexive Müntz Spaces
Mathematics, 2017 The article is devoted to reflexive Müntz spaces M Λ , p of
Sergey V. Ludkowski
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A Schauder basis for $L_{1}(0,\infty)$ consisting of non-negative functions [PDF]
Illinois Journal of Mathematics, 2015 We construct a Schauder basis for $L_1$ consisting of non-negative functions and investigate unconditionally basic and quasibasic sequences of non-negative functions in $L_p$, $1\le p < \infty$.
Johnson, William B., Schechtman, Gideon
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper is devoted to the analysis of controllability for a class of backward fractional integro‐differential equations involving history‐dependent operators, which arise naturally in systems with memory effects. The study begins with the formulation of an appropriate functional framework, within which the concept of approximate controllability is ...
Ghadah Albeladi +2 more
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Characteristic Functions and Borel Exceptional Values of E-Valued Meromorphic Functions
Abstract and Applied Analysis, 2012 The main purpose of this paper is to investigate the characteristic functions and Borel exceptional values of E-valued meromorphic functions from the ℂR={z:|z|
Zhaojun Wu, Zuxing Xuan
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Differential Methods for HU Stability of Backward Shift Operators via Weight Sequences
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper introduces a new concept of jth weighted backward shift operators on weighted Hardy spaces Hμ2. We introduce the operator Ωγj and characterize its boundedness in certain sequences associated with the weights. After that, we establish HU stability of the jth weighted backward shift operator Υenj and provide conditions under which stability ...
Zohreh Kefayati +4 more
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Almost convergent sequence spaces derived by the domain of quadruple band matrix
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2020 In this work, we construct the sequence spaces f(Q(r,s,t,u)), f0(Q(r,s,t,u)) and fs(Q(r,s,t,u)), where Q(r,s,t,u) is quadruple band matrix which generalizes the matrices Δ3, B(r,s,t), Δ2, B(r,s) and Δ, where Δ3, B(r,s,t), Δ2, B(r,s) and Δ are called ...
Mustafa Cemil Bişgin
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