Results 1 to 10 of about 36,798 (113)
Lipschitz-Free Spaces Over Ultrametric Spaces [PDF]
Mediterranean Journal of Mathematics, 2015 The only change in the latest version is the second author's grant information. Question 1 from the previous version has been answered - see Remark 15 for the solution. Preprint was accepted in Mediterr.
Cúth, Marek, Doucha, Michal
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Sensitivity analysis and dynamics of brucellosis infection disease in cattle with control incident rate by using fractional derivative [PDF]
Scientific ReportsThe farming of animals is one of the largest industries, with animal food products, milk, and dairy being crucial components of the global economy. However, zoonotic bacterial diseases, including brucellosis, pose significant risks to human health.
Muhammad Farman +5 more
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Compact reduction in Lipschitz-free spaces [PDF]
Studia Mathematica, 2021 We prove a general principle satisfied by weakly precompact sets of Lipschitz-free spaces. By this principle, certain infinite dimensional phenomena in Lipschitz-free spaces over general metric spaces may be reduced to the same phenomena in free spaces over their compact subsets. As easy consequences we derive several new and some known results.
Aliaga, Ramón J. +3 more
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Embeddings of Lipschitz-free spaces into ℓ1 [PDF]
Journal of Functional Analysis, 2021 We show that, for a separable and complete metric space $M$, the Lipschitz-free space $\mathcal F(M)$ embeds linearly and almost-isometrically into $\ell_1$ if and only if $M$ is a subset of an $\mathbb R$-tree with length measure 0. Moreover, it embeds isometrically if and only if the length measure of the closure of the set of branching points of $M$
Aliaga, Ramón J. +2 more
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RETRACTED - Compact reduction in Lipschitz-free spaces [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2021 We prove a general principle satisfied by weakly precompact sets of Lipschitz-free spaces. By this principle, certain infinite dimensional phenomena in Lipschitz-free spaces over general metric spaces may be reduced to the same phenomena in free spaces over their compact subsets. As easy consequences we derive several new and some known results.
Ramón J. Aliaga +3 more
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Lipschitz Algebras and Lipschitz-Free Spaces Over Unbounded Metric Spaces [PDF]
International Mathematics Research Notices, 2021 Abstract We investigate a way to turn an arbitrary (usually, unbounded) metric space ${{\mathcal{M}}}$ into a bounded metric space ${{\mathcal{B}}}$ in such a way that the corresponding Lipschitz-free spaces ${{\mathcal{F}}}({{\mathcal{M}}})$ and ${{\mathcal{F}}}({{\mathcal{B}}})$ are isomorphic. The construction we provide is functorial
Albiac, F. +3 more
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Lipschitz-free Spaces on Finite Metric Spaces [PDF]
Canadian Journal of Mathematics, 2019 AbstractMain results of the paper are as follows:(1) For any finite metric space$M$the Lipschitz-free space on$M$contains a large well-complemented subspace that is close to$\ell _{1}^{n}$.(2) Lipschitz-free spaces on large classes of recursively defined sequences of graphs are not uniformly isomorphic to$\ell _{1}^{n}$of the corresponding dimensions ...
Dilworth, Stephen J. +2 more
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Lipschitz-free Banach spaces [PDF]
Studia Mathematica, 2003 The present paper contributes significantly to the study of Lipschitz isomorphisms of Banach spaces. For a Banach space \(X\), let Lip\(_0(X)\) denote the space of Lipschitz functions on \(X\) that vanish at~\(0\), endowed with the Lipschitz constant as its canonical norm.
Godefroy, G., Kalton, N. J.
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Octahedrality in Lipschitz-free Banach spaces [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2017 The aim of this note is to study octahedrality in vector-valued Lipschitz-free Banach spaces on a metric space, under topological hypotheses on it, by analysing the weak-star strong diameter 2 property in Lipschitz function spaces. Also, we show an example that proves that our results are optimal and that octahedrality in vector-valued Lipschitz-free ...
Guerrero, Julio Becerra +2 more
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Lipschitz free spaces over locally compact metric spaces [PDF]
Studia Mathematica, 2021 27 pages. Changes to names of some objects and addition of informal discussion of semi-embedding theorem.
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