Results 21 to 30 of about 36,851 (159)
The Lipschitz free Banach spaces of $C(K)$-spaces [PDF]
Proceedings of the American Mathematical Society, 2005 Given a metric space \(X\) with a special point \(0\), its \textit{free Banach space} \({\mathcal F} (X)\) is the linear subspace of \(\big[\text{Lip}_0(X)\big]^\ast\) generated by the evaluation functionals \(f \mapsto f(x)\) for \(x\in X\), where \(\text{Lip}_0(X)\) is the space of Lipschitz functions \(f\colon X \to \mathbb R\) which vanish at \(0\),
Dutrieux, Yves, Ferenczi, Valentin
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Extreme Points in Lipschitz-Free Spaces over Compact Metric Spaces [PDF]
Mediterranean Journal of Mathematics, 2022 We prove that all extreme points of the unit ball of a Lipschitz-free space over a compact metric space have finite support. Combined with previous results, this completely characterizes extreme points and implies that all of them are also extreme points in the bidual ball.
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Lipschitz-free spaces and subsets of finite-dimensional spaces
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2023 We consider two questions on the geometry of Lipschitz-free $p$-spaces $\mathcal {F}_p$, where $0< p\leq 1$, over subsets of finite-dimensional vector spaces. We solve an open problem and show that if $(\mathcal {M}, \rho )$ is an infinite doubling metric space (e.g. an infinite subset of an Euclidean space), then $\mathcal {F}_p (\mathcal {M}, \rho
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Hypercyclic operators on Lipschitz spaces [PDF]
Математичні Студії, 2013 We consider hypercyclic operators on free Banach spaces and little Lipschitz spaces which are some kind of generalizations of shift operators and composition operators respectively.
M. V. Dubey +2 more
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Nonrough norms in Lipschitz free spaces
, 2023 In this paper we characterise nonrough norms of Lipschitz free spaces F(M) in terms of a new geometric property of the underlying metric space M.
Basu, Sudeshna, Seal, Susmita
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Hyperbolic Metric Spaces and Stochastic Embeddings
Forum of Mathematics, SigmaStochastic embeddings of finite metric spaces into graph-theoretic trees have proven to be a vital tool for constructing approximation algorithms in theoretical computer science.
Chris Gartland
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Approximation properties and Schauder decompositions in Lipschitz-free spaces
, 2012 We prove that the Lipschitz-free space over a doubling metric space has the bounded approximation property. We also show that the Lipschitz-free spaces over $\ell_1^N$ or $\ell_1$ have monotone finite-dimensional Schauder ...
Lancien, Gilles, Pernecka, Eva
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Lipschitz free $p$-spaces for $0
, 2018 F. Albiac acknowledges the support of the Spanish Ministry for Economy and Competitivity Grants MTM2014-53009-P for Análisis Vectorial, Multilineal y Aplicaciones, and MTM2016-76808-P for Operators, lattices, and structure of Banach spaces as well as the Spanish Ministry for Science and Innovation under Grant PID2019-1077701GB-I00. J. L.
Albiac, F. +3 more
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Analysis of stochastic SEIR(S) models with random total populations and variable diffusion rates
Electronic Journal of Qualitative Theory of Differential EquationsA stochastic SEIR(S) model with random total population, overall saturation constant $K>0$ and general, local Lipschitz-continuous diffusion rates is presented. We prove the existence of unique, Markovian, continuous time solutions w.r.t.
Henri Schurz +2 more
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The Lipschitz metric on deformation spaces of $G$-trees
, 2014 For a finitely generated group $G$, we introduce an asymmetric pseudometric on projectivized deformation spaces of $G$-trees, using stretching factors of $G$-equivariant Lipschitz maps, that generalizes the Lipschitz metric on Outer space and is an ...
Meinert, Sebastian
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