Results 111 to 120 of about 1,163,773 (213)
Tilings and coverings by balls in ℓ1$\ell _1$
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.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
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.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
Constructive Analysis on Banach Spaces
Real Analysis Exchange, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gill, Tepper L., Myers, Timothy
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Self‐consistent transfer operators for heterogeneous coupled maps
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.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
Universal Approximation of Operators with Transformers and Neural Integral Operators
AxiomsWe study the universal approximation properties of transformers and neural integral operators for operators in Banach spaces. In particular, we show that the transformer architecture is a universal approximator of integral operators between Hölder spaces.
Emanuele Zappala, Maryam Bagherian
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Holomorphic Processes in Banach Spaces and Banach Algebras
Journal of Multivariate Analysis, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mathematika, Volume 72, Issue 4, October 2026.Abstract We say that a plane set A$A$ is graph‐null, if there is a function g:[0,1]→R$g\colon [0,1]\rightarrow {\mathbb {R}}$ such that λ2(A+graphg)=0$\lambda _2 (A+{\rm graph}\, g)=0$. A plane set A$A$ has the translational Kakeya property if, for every translated copy A′$A^{\prime }$ of A$A$ and for every ε>0$\varepsilon >0$, there is a finite ...
M. Laczkovich, A. Máthé
wiley +1 more source
Generalized Hyers-Ulam Stability of Quadratic Functional Inequality
Abstract and Applied Analysis, 2013 We establish the general solution of the functional inequality and then investigate the generalized Hyers-Ulam stability of this inequality in Banach spaces and in non-Archimedean Banach spaces.
Hark-Mahn Kim +2 more
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Kergin approximation in Banach spaces
Journal of Approximation Theory, 2008 We explore the convergence of Kergin interpolation polynomials of holomorphic functions in Banach spaces, which need not be of bounded type. We also investigate a case where the Kergin series diverges.
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Type, cotype and convexity properties of quasi-Banach spaces
, 2004 Results on quasi-Banach spaces, their type and cotype together with the convexity and concavity of quasi-Banach lattices are collected. Several proofs are included.
Maligranda, Lech
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