Results 61 to 70 of about 10,258 (191)
Means with values in a Banach lattice
International Journal of Mathematics and Mathematical Sciences, 1987 Means, generalized means and invariant means (on a semigroup) with values in a Banach lattice are defined and studied.
R. Rao Chivukula, I. Ramabhadra Sarma
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A Choquet theory of Lipschitz‐free spaces
Proceedings of the London Mathematical Society, Volume 132, Issue 2, February 2026.Abstract Let (M,d)$(M,d)$ be a complete metric space and let F(M)$\mathcal {F}({M})$ denote the Lipschitz‐free space over M$M$. We develop a ‘Choquet theory of Lipschitz‐free spaces’ that draws from the classical Choquet theory and the De Leeuw representation of elements of F(M)$\mathcal {F}({M})$ (and its bi‐dual) by positive Radon measures on βM ...
Richard J. Smith
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Monotone gradients on Banach lattices [PDF]
Proceedings of the American Mathematical Society, 1986 It is well known that a differentiable real valued function on the real line is convex iff its derivative is nondecreasing. This characterization of differentiable convex functions does not extend if the domain of the function is a Banach lattice of dim ⩾ 2 \dim \geqslant 2 .
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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
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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
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On the Cohomology of Topological Semigroups
Communications in Advanced Mathematical Sciences, 2019 In this short note, we give some new results on continuous bounded cohomology groups of topological semigroups with values in complex field. We show that the second continuous bounded cohomology group of a compact metrizable semigroup, is a Banach space.
Maysam Maysami Sadr +1 more
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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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Indagationes Mathematicae, 1990 An operator T on a Banach space E is said to be ergodic, provided the averages 1/n\(\sum^{bn-1}_{k=0}T^ kx\) converge in norm for each \(x\in E.\) Assume that E is a Banach lattice satisfying either of the following two conditions: (i) E is Dedekind \(\sigma\)-complete, or (ii) E has a topological orthogonal system.
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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
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Journal of the European Mathematical SocietyWe investigate the structure of the free p -convex Banach lattice {\mathrm{FBL}}^{(p)}[E] over a Banach space E .
Timur Oikhberg +3 more
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