Results 31 to 40 of about 36,851 (159)

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

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

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

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

Approximation of Dirac operators with δ‐shell potentials in the norm resolvent sense, II: Quantitative results

Mathematische Nachrichten, EarlyView.
Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt, Markus Holzmann, Christian Stelzer‐Landauer   +2 more
wiley   +1 more source

Boundary-nonregular functions in the disc algebra and in holomorphic Lipschitz spaces [PDF]

, 2018
We prove in this paper the existence of dense linear subspaces in the classical holomorphic Lipschitz spaces in the disc all of whose non-null functions are nowhere differentiable at the boundary.
Bernal González, Luis, Bonilla Ramírez, Antonio Lorenzo, López-Salazar Codes, Jerónimo, Seoane Sepúlveda, Juan Benigno   +3 more
core  

Moderate Deviation Principles for Lacunary Trigonometric Sums

Mathematische Nachrichten, EarlyView.
ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
wiley   +1 more source

Canonical embedding of Lipschitz-free p-spaces

Banach Journal of Mathematical Analysis
We find a new finite algorithm for evaluation of Lipschitz-free $p$-space norm in finite-dimensional Lipschitz-free $p$-spaces. We use this algorithm to deal with the problem of whether given $p$-metric spaces $N\subset M$, the canonical embedding of $\mathcal{F}_p(N)$ into $\mathcal{F}_p(M)$ is an isomorphism.
Marek Cúth, Tomáš Raunig
openaire   +3 more sources

Signatures, Lipschitz-Free Spaces, and Paths of Persistence Diagrams

SIAM Journal on Applied Algebra and Geometry, 2023
Paths of persistence diagrams provide a summary of the dynamic topological structure of a one-parameter family of metric spaces. These summaries can be used to study and characterize the dynamic shape of data such as swarming behavior in multi-agent systems, time-varying fMRI scans from neuroscience, and time-dependent scalar fields in hydrodynamics ...
Giusti, Chad, Lee, Darrick
openaire   +2 more sources