Results 121 to 130 of about 4,018,978 (218)
On Zippin's Embedding Theorem of Banach spaces into Banach spaces with bases
Advances in Mathematics, 2015 We present a new proof of Zippin's Embedding Theorem, that every separable reflexive Banach space embeds into one with shrinking and boundedly complete basis, and every Banach space with a separable dual embeds into one with a shrinking basis. This new proof leads to improved versions of other embedding results.
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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
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A description of the Stone space of Banach lattice C(K,E)
Journal of Function Spaces and Applications, 2006 We give a topological description of the Stone space of C(K,E), Banach lattices of continuous functions from a compact Hausdorff space K into a Banach lattice E.
Zafer Ercan
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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
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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
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ON BANACH SPACES WITH THE APPROXIMATE HYPERPLANE SERIES PROPERTY
, 2019 We present a sufficient condition for a Banach space to have the approximate hyperplane series property (AHSP) which actually covers all known examples. We use this property to get a stability result to vector-valued spaces of integrable functions.
Choi, YS, Lee, HJ, Martin, M, Kim, SK
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Continuity of homomorphisms and derivations from algebras of approximable and nuclear operators [PDF]
, 1994 1. Let be a Banach algebra. We say that homomorphisms from are continuous if every homomorphism from into a Banach algebra is automatically continuous, and that derivations from are continuous if every derivation from into a Banach -bimodule is ...
Dales, H.G. +3 more
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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
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