Results 31 to 40 of about 1,200,505 (78)

Topology, isomorphic smoothness and polyhedrality in Banach spaces [PDF]

Topology and its Applications, 2019
In recent decades, topology has come to play an increasing role in some geometric aspects of Banach space theory. The class of so-called $w^*$-locally relatively compact sets was introduced recently by Fonf, Pallares, Troyanski and the author, and were found to be a useful topological tool in the theory of isomorphic smoothness and polyhedrality in ...
openaire   +3 more sources

Some remarks on James-Schreier spaces. [PDF]

, 2010
The James-Schreier spaces V_p, where p is a real number greater than or equal to 1, were recently introduced by Bird and Laustsen as an amalgamation of James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a ...
Laustsen, Niels Jakob, Zsak, Andras, Bird, Alistair   +2 more
core   +4 more sources

Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
wiley   +1 more source

Smoothed Moreau‐Yosida Tensor‐Train Approximation of State‐Constrained Optimization Problems Under Uncertainty

Numerical Linear Algebra with Applications, Volume 32, Issue 4, August 2025.
ABSTRACT We propose an algorithm to solve optimization problems constrained by ordinary or partial differential equations under uncertainty, with additional almost sure inequality constraints on the state variable. To alleviate the computational burden of high‐dimensional random variables, we approximate all random fields by the tensor‐train (TT ...
Harbir Antil, Sergey Dolgov, Akwum Onwunta   +2 more
wiley   +1 more source

On an Erdős similarity problem in the large

Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1801-1818, June 2025.
Abstract In a recent paper, Kolountzakis and Papageorgiou ask if for every ε∈(0,1]$\epsilon \in (0,1]$, there exists a set S⊆R$S \subseteq \mathbb {R}$ such that |S∩I|⩾1−ε$\vert S \cap I\vert \geqslant 1 - \epsilon$ for every interval I⊂R$I \subset \mathbb {R}$ with unit length, but that does not contain any affine copy of a given increasing sequence ...
Xiang Gao, Yuveshen Mooroogen, Chi Hoi Yip   +2 more
wiley   +1 more source

ℓp$\ell ^p$ metrics on cell complexes

Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.
Abstract Motivated by the observation that groups can be effectively studied using metric spaces modelled on ℓ1$\ell ^1$, ℓ2$\ell ^2$ and ℓ∞$\ell ^\infty$ geometry, we consider cell complexes equipped with an ℓp$\ell ^p$ metric for arbitrary p$p$. Under weak conditions that can be checked locally, we establish non‐positive curvature properties of these
Thomas Haettel, Nima Hoda, Harry Petyt
wiley   +1 more source

Error estimates for completely discrete FEM in energy‐type and weaker norms

Numerical Methods for Partial Differential Equations, Volume 40, Issue 6, November 2024.
Abstract The paper presents error estimates within a unified abstract framework for the analysis of FEM for boundary value problems with linear diffusion‐convection‐reaction equations and boundary conditions of mixed type. Since neither conformity nor consistency properties are assumed, the method is called completely discrete.
Lutz Angermann, Peter Knabner, Andreas Rupp   +2 more
wiley   +1 more source

Determining a time‐varying potential in time‐fractional diffusion from observation at a single point

Numerical Methods for Partial Differential Equations, Volume 40, Issue 6, November 2024.
Abstract We discuss the identification of a time‐dependent potential in a time‐fractional diffusion model from a boundary measurement taken at a single point. Theoretically, we establish a conditional Lipschitz stability for this inverse problem. Numerically, we develop an easily implementable iterative algorithm to recover the unknown coefficient, and
Siyu Cen, Kwancheol Shin, Zhi Zhou
wiley   +1 more source

Cyclic‐Schottky strata of Schottky space

Bulletin of the London Mathematical Society, Volume 56, Issue 11, Page 3412-3427, November 2024.
Abstract Schottky space Sg${\mathcal {S}}_{g}$, where g⩾2$g \geqslant 2$ is an integer, is a connected complex orbifold of dimension 3(g−1)$3(g-1)$; it provides a parametrization of the PSL2(C)${\rm PSL}_{2}({\mathbb {C}})$‐conjugacy classes of Schottky groups Γ$\Gamma$ of rank g$g$. The branch locus Bg⊂Sg${\mathcal {B}}_{g} \subset {\mathcal {S}}_{g}$,
Rubén A. Hidalgo, Milagros Izquierdo
wiley   +1 more source

Assumed strain methods in micromechanics, laminate composite voxels and level sets

International Journal for Numerical Methods in Engineering, Volume 125, Issue 11, 15 June 2024.
Abstract This work deals with the composite voxel method, which—in its original form—furnishes voxels containing more than one material with a surrogate material law accounting for the heterogeneity in the voxel. We show that the laminate composite voxel technique naturally arises as an assumed strain method, that is, the general framework introduced ...
Jonas Lendvai, Matti Schneider
wiley   +1 more source