Results 91 to 100 of about 2,451 (228)
A study on Copson operator and its associated sequence space
Journal of Inequalities and Applications, 2020 In this research, we investigate two types of Copson matrices, the generalized Copson matrix and the Copson matrix of order n, and their associated sequence spaces generated by these matrices.
Hadi Roopaei
doaj +1 more source
Compact well-bounded operators
, 2001 Every compact well-bounded operator has a representation as a linear combination of disjoint projections reminiscent of the representation of compact self-adjoint operators. In this note we show that the converse of this result holds, thus characterizing
Qingping, C., Doust, I.
core
Majorizing sequences for iterative procedures in Banach spaces
Journal of Complexity, 2012 The article deals with Newton-like approximations \[ x_{n+1} = x_n - A(x_n)^{-1}(F(x_n) + G(x_n)), \quad n = 0,1,2,\ldots,\tag{1} \] to a nonlinear operator equation \[ F(x) + G(x) = 0 \] with a Fréchet differentiable operator \(F\) and a continuous operator \(G\); here \(A(x)\) are linear operators with the invertible \(A(x_0)\).
Ioannis K. Argyros, Saïd Hilout
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Advanced Intelligent Discovery, Volume 2, Issue 3, June 2026.We propose a residual‐based adversarial‐gradient moving sample (RAMS) method for scientific machine learning that treats samples as trainable variables and updates them to maximize the physics residual, thereby effectively concentrating samples in inadequately learned regions.
Weihang Ouyang +4 more
wiley +1 more source
Lorentz Spaces and Embeddings Induced by Almost Greedy Bases in Banach Spaces
, 2016 The aim of this paper is to undertake a systematic qualitative study of the built-in symmetry of almost greedy bases in Banach spaces. More specifically, by refining the techniques that Wojtaszczyk used in J Approx Theory 107(2), 293–314 2000 for quasi ...
Ansorena, J.L. [0000-0002-4979-1080] +1 more
core +1 more source
Slicely Countably Determined Banach spaces [PDF]
, 2009 A (separable) Banach space X is slicely countably determined if for every convex bounded subset A of X there is a sequence of slices (Sn) such that each slice of A contains one of the Sn. SCD-spaces form a joint generalization of spaces not containing `1
Antonio Avilés +9 more
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From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1985 1. Let E denote a Banacb space över the fieîd of real or conıplex numbers. The spaces Co(E), c(E), t.p(E) and loo(E) of sequences in E have been discussed by Boas [1], Day [2], Leonard [9], Maddox [11] and some others. Lorentz [10] introduced the space c cf aîmost convergent sequen- ces of real or complex numbers.
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9967-9983, June 2026.ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
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Generating classes of perfect Banach sequence spaces [PDF]
Proceedings of the American Mathematical Society, 1972 A perfect sequence space A is said to be a step if 11 'Z cJ'10 and A is a Banach space in its strong topology from ...
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