Results 71 to 80 of about 18,372 (189)

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 .
openaire   +2 more sources

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

Numerical and Analytical Investigation of the Ablowitz–Ladik and Salerno Models: Closeness to Cubic and Cubic‐Quintic Discrete Nonlinear Schrödinger Lattices

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, Tiziano Penati, Simone Paleari   +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
wiley   +1 more source

An absolute continuity for positive operators on Banach lattices

International Journal of Mathematics and Mathematical Sciences, 1991
For positive operators on a Banach lattice, absolute contnuity conditions are considered. An operator absolutely continuous with respect to T is compared to sums of compositions of T together with orthomorphisms or in special cases projections ...
W. Feldman, C. Piston, Calvin E. Piston   +2 more
doaj   +1 more source

Ergodic Banach lattices

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.
openaire   +1 more source

Truncated Floquet–Bloch transform for computing the spectral properties of large finite systems of resonators

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, Silvio Barandun, Alexander Uhlmann   +2 more
wiley   +1 more source

A Generalization of the Hyers-Ulam-Aoki Type Stability of Some Banach Lattice -Valued Functional Equation

Extracta Mathematicae, 2018
We obtained a generalization of the stability of some Banach lattice-valued functional equation with the addition replaced in the Cauchy functional equation by lattice operations and their combinations.
Nutefe Kwami Agbeko, Patrícia Szokol
doaj  

The Köthe Dual of an Abstract Banach Lattice

Journal of Function Spaces and Applications, 2013
We analyze a suitable definition of Köthe dual for spaces of integrable functions with respect to vector measures defined on δ-rings. This family represents a broad class of Banach lattices, and nowadays it seems to be the biggest class of spaces ...
E. Jiménez Fernández, M. A. Juan, E. A. Sánchez-Pérez   +2 more
doaj   +1 more source

Free Banach lattices

Journal of the European Mathematical Society
We investigate the structure of the free p -convex Banach lattice {\mathrm{FBL}}^{(p)}[E] over a Banach space E .
Timur Oikhberg, Mitchell A. Taylor, Pedro Tradacete, Vladimir G. Troitsky   +3 more
openaire   +2 more sources