Results 31 to 40 of about 55,940 (168)

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
core   +3 more sources

Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets

Journal of Advanced Research in Natural and Applied Sciences
The study introduces different categories of Lipschitz operators linked with weakly $p$-compact and unconditionally $p$-compact sets. It explores some properties of these operator classes derived from linear operators associated with these sets and ...
Ramazan İnal, Ayşegül Keten Çopur
doaj   +1 more source

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., Ansorena, J.L., Cúth, M., Doucha, M. (Michal)   +3 more
openaire   +6 more sources

Lipschitz-free spaces over compact subsets of superreflexive spaces are weakly sequentially complete

, 2017
Let $M$ be a compact subset of a superreflexive Banach space. We prove that the Lipschitz-free space $\mathcal{F}(M)$, the predual of the Banach space of Lipschitz functions on $M$, has the Pe{\l}czy\'nski's property ($V^\ast$).
Aharoni, Bourgain, Bourgain, Bourgain, Bretagnolle, Cepedello-Boiso, Cúth, Cúth, Dalet, Deville, Dutrieux, Enflo, Enflo, Enflo, Eva Pernecká, Fabian, Figiel, Figiel, Godard, Godefroy, Godefroy, Godefroy, Godefroy, Harmand, Hájek, Hájek, Hájek, James, James, Kalton, Kaufmann, Lafforgue, Lindenstrauss, McShane, Naor, Petitjean, Pełczyński, Pisier, Schoenberg, Tomasz Kochanek, Weaver, Weaver, Wojtaszczyk   +42 more
core   +1 more source

On strongly norm attaining Lipschitz maps

, 2019
We study the set $\operatorname{SNA}(M,Y)$ of those Lipschitz maps from a (complete pointed) metric space $M$ to a Banach space $Y$ which (strongly) attain their Lipschitz norm (i.e.\ the supremum defining the Lipschitz norm is a maximum).
Cascales, Bernardo, Chiclana, Rafa, Garcia-Lirola, Luis, Martin, Miguel, Zoca, Abraham Rueda   +4 more
core   +1 more source

Patterson-Sullivan currents, generic stretching factors and the asymmetric Lipschitz metric for Outer space

, 2015
We quantitatively relate the Patterson-Sullivant currents and generic stretching factors for free group automorphisms to the asymmetric Lipschitz metric on Outer space and to Guirardel's intersection number.Comment: some minor updates and revisions; 18 ...
Kapovich, Ilya, Lustig, Martin
core   +3 more sources

Isometries of Lipschitz‐free Banach spaces

Journal of the London Mathematical Society
AbstractWe describe surjective linear isometries and linear isometry groups of a large class of Lipschitz‐free spaces that includes, for example, Lipschitz‐free spaces over any graph. We define the notion of a Lipschitz‐free rigid metric space whose Lipschitz‐free space only admits surjective linear isometries coming from surjective dilations (i.e ...
Marek Cúth, Michal Doucha, Tamás Titkos   +2 more
openaire   +4 more sources

Fourier Mass Lower Bounds for Batchelor‐Regime Passive Scalars

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT Batchelor predicted that a passive scalar ψν$\psi ^\nu$ with diffusivity ν$\nu$, advected by a smooth fluid velocity, should typically have Fourier mass distributed as |ψ̂ν|2(k)≈|k|−d$|\widehat{\psi }^\nu |^2(k) \approx |k|^{-d}$ for |k|≪ν−1/2$|k| \ll \nu ^{-1/2}$.
William Cooperman, Keefer Rowan
wiley   +1 more source

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
core   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source