Results 61 to 70 of about 9,818 (190)
The Journal of Symbolic LogicAbstract We investigate the notion of ideal (equivalently: filter) Schauder basis of a Banach space. We do so by providing bunch of new examples of such bases that are not the standard ones, especially within classical Banach spaces (
ADAM KWELA, JAROSŁAW SWACZYNA
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 3353-3384, 15 March 2026.ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
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Coupling of Brownian motions in Banach spaces
, 2017 Consider a separable Banach space $ \mathcal{W}$ supporting a non-trivial Gaussian measure $\mu$. The following is an immediate consequence of the theory of Gaussian measure on Banach spaces: there exist (almost surely) successful couplings of two ...
Candellero, Elisabetta +1 more
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Bounded completeness and Schauder's basis for C[0, 1] [PDF]
Glasgow Mathematical Journal, 1986 A basis , for a Banach space X is said to be boundedly complete [4, p. 284] if whenever is a sequence of scalars for which converges. It is well-known [2, p. 70] that if is a boundedly complete basis for X then X is isometric to a conjugate space; in fact, X = [fi]*, where is the sequence of coefficient functionals associated with the basis It ...
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Comprehensive Reviews in Food Science and Food Safety, Volume 25, Issue 2, March 2026.ABSTRACT Essential oils (EOs) exhibit antimicrobial activity against foodborne pathogens due to their chemical composition. This review investigates the mechanisms of action of EOs at subinhibitory concentrations against Salmonella strains. Even at subinhibitory concentrations, EOs induce cellular stress and modulate bacterial metabolism. EOs interfere
Carolina Ramos +5 more
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Schauder estimates for parabolic p$p$‐Laplace systems
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We establish the local Hölder regularity of the spatial gradient of bounded weak solutions u:ET→Rk$u\colon E_T\rightarrow \mathbb {R}^k$ to the nonlinear system of parabolic type ∂tu−div(a(x,t)μ2+|Du|2p−22Du)=0inET,$$\begin{equation*} \partial _tu-\operatorname{div}{\Big(a(x,t){\left(\mu ^2+|Du|^2\right)}^\frac{p-2}{2}Du\Big)}=0 \qquad \mbox ...
Verena Bögelein +4 more
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Approximation in Müntz Spaces MΛ,p of Lp Functions for 1 < p < ∞ and Bases
Mathematics, 2017 Müntz spaces satisfying the Müntz and gap conditions are considered. A Fourier approximation of functions in the Müntz spaces MΛ,p of Lp functions is studied, where 1 < p < ∞.
Sergey V. Ludkowski
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Continuous lattice ordering by Schauder basis cones [PDF]
Proceedings of the American Mathematical Society, 1971 Let ( E , τ \tau
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Schauder basis in a locally k-convex space and perfect sequence spaces [PDF]
Proyecciones (Antofagasta), 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. We are also interested with the compatible topologies on E for which the basis(ei )i is equicontinuous, and the weak basis problem.
Ameziane Hassani, R +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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