Results 81 to 90 of about 2,758,163 (163)
A Grothendieck-Type Compactness Principle for Super Weakly Compact Sets
The classical Grothendieck compactness principle states that every norm-compact subset of a Banach space lies in the closed convex hull of a norm null sequence.
Jianjian Wang, Chunyan Luo, Junxi Chen
doaj +1 more source
Curved RUM spectra of periodic frameworks
Abstract The rigid unit mode (RUM) spectrum records the phases at which a periodic (or crystal) framework admits a phase‐periodic infinitesimal motion. This plays a central role in the geometric rigidity of crystal frameworks, with applications in crystallography and materials science.
Antonio Acuaviva +3 more
wiley +1 more source
Lipschitz‐free spaces over uniformly discrete metric spaces are 3‐Schur
Abstract We prove that the Lipschitz‐free space over any uniformly discrete metric space has the 3‐Schur property.
Marek Cúth, Ondřej F. K. Kalenda
wiley +1 more source
Köthe dual of Banach sequence spaces $\ell_p[X]$ $(1\le p<\infty)$ and Grothendieck space
summary:In this paper, we show the representation of Köthe dual of Banach sequence spaces $\ell _p[X]$ $(1\leq p< \infty )$ and give a characterization of that the spaces $\ell _p[X]$ $(1< p< \infty )$ are Grothendieck ...
Bu, Qingying, Wu, Congxin
core +1 more source
Abstract We characterize the extreme and exposed points of the unit ball (with respect to the L1$L^1$‐norm) in the shift‐invariant space generated by the Gaussian function, as well as in the quasi‐shift‐invariant space generated by the hyperbolic secant.
Markus Valås Hagen +3 more
wiley +1 more source
Tilings and coverings by balls in ℓ1$\ell _1$
Abstract A famous result of Klee from 1981 is that the Banach space ℓ1(κ)$\ell _1(\kappa)$ admits a disjoint tiling by balls of radius 1, for all cardinals κ$\kappa$ with κℵ0=κ$\kappa ^{\aleph _0} =\kappa$. Klee also observed that the smallest cardinal in which such a tiling might exist is κ=2ℵ0$\kappa = 2^{\aleph _0}$, leaving open the question ...
Carlo Alberto De Bernardi +3 more
wiley +1 more source
Geometric spectral properties of electromagnetic waveguides
Abstract We consider a homogeneous, isotropic electromagnetic waveguide with simply connected cross‐section embedded in a perfect conductor. We investigate the influence of geometric deformations, namely bending and twisting, on the real spectrum of the associated self‐adjoint Maxwell operator. We first establish sufficient conditions on the asymptotic
Philippe Briet +3 more
wiley +1 more source
An Inexact Proximal-Type Method for the Generalized Variational Inequality in Banach Spaces
We investigate an inexact proximal-type method, applied to the generalized variational inequality problem with maximal monotone operator in reflexive Banach spaces.
Mastroeni G, Yao JC, Ceng LC
doaj
Nonwandering operators in Banach space
We introduce nonwandering operators in infinite-dimensional separable Banach space. They are new linear chaotic operators and are relative to hypercylic operators, but different from them.
Lixin Tian +3 more
doaj +1 more source
Self‐consistent transfer operators for heterogeneous coupled maps
Abstract We investigate the dynamics of large heterogeneous network dynamical systems composed of nonlocally coupled chaotic maps. We show that the mean‐field limit of such systems is governed by a suitably defined Self‐consistent Transfer Operator (STO) acting on measures, describing the infinite‐size limits of dense graphs as graphons, thereby ...
Herbert M. C. Maquera +2 more
wiley +1 more source

