Results 41 to 50 of about 11,294 (215)
Order convergence in infinite-dimensional vector lattices is not topological [PDF]
, 2017 In this note, we show that the order convergence in a vector lattice $X$ is not topological unless $\dim ...
Dabboorasad, Y. A. +2 more
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Plank theorems and their applications: A survey
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley +1 more source
Mathematics, 2023 We introduce a method based on Lipschitz pointwise transformations to define a distance on a Banach function space from its norm. We show how some specific lattice geometric properties (p-convexity, p-concavity, p-regularity) or, equivalently, some types
Roger Arnau, Enrique A. Sánchez-Pérez
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Studies in Applied Mathematics, Volume 155, Issue 6, December 2025.ABSTRACT We study the closeness between the Ablowitz–Ladik, Salerno, and discrete nonlinear Schrödinger lattices in regimes of small coupling ε$\varepsilon$ and small energy norm ρ$\rho$. Two approaches are compared: direct estimates in physical variables and a transformation to canonical symplectic coordinates via Darboux variables.
Marco Calabrese +2 more
wiley +1 more source
Euclidean algorithms are Gaussian over imaginary quadratic fields
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We prove that the distribution of the number of steps of the Euclidean algorithm of rationals in imaginary quadratic fields with denominators bounded by N$N$ is asymptotically Gaussian as N$N$ goes to infinity, extending a result by Baladi and Vallée for the real case.
Dohyeong Kim, Jungwon Lee, Seonhee Lim
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Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In subwavelength physics, a challenging problem is to characterise the spectral properties of finite systems of subwavelength resonators. In particular, it is important to identify localised modes as well as bandgaps and associated mobility edges.
Habib Ammari +2 more
wiley +1 more source
Moduli and Characteristics of Monotonicity in Some Banach Lattices
Fixed Point Theory and Applications, 2010 First the characteristic of monotonicity of any Banach lattice X is expressed in terms of the left limit of the modulus of monotonicity of X at the point 1.
Miroslav Krbec +3 more
doaj +2 more sources
Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces
Mathematics, 2021 The spaces of pointwise multipliers on Morrey spaces are described in terms of Morrey spaces, their preduals, and vector-valued Morrey spaces introduced by Ho. This paper covers weak Morrey spaces as well.
Eiichi Nakai, Yoshihiro Sawano
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Weak precompactness in Banach lattices [PDF]
, 2022 Xiang Bo, Jinxi Chen, Lei Li
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The domination theorem for operator classes generated by Orlicz spaces
Mathematische Nachrichten, Volume 298, Issue 11, Page 3576-3598, November 2025.Abstract We study lattice summing operators between Banach spaces focusing on two classes, ℓφ$\ell _\varphi$‐summing and strongly φ$\varphi$‐summing operators, which are generated by Orlicz sequence lattices ℓφ$\ell _\varphi$. For the class of strongly φ$\varphi$‐summing operators, we prove the domination theorem, which complements Pietsch's ...
D. L. Fernandez +3 more
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