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Asymmetric free spaces and canonical asymmetrizations
(Polish Acad Sciences Inst Mathematics-IMPAN, 2021)
A construction analogous to that of Godefroy-Kalton for metric spaces allows one to embed isometrically, in a canonical way, every quasi-metric space (X, d) in an asymmetric normed space F-a (X, d) (its quasi-metric free ...
ON LARGE l 1 -SUMS OF LIPSCHITZ-FREE SPACES AND APPLICATIONS
(Stephen Dilworth, 2023-03)
We prove that the Lipschitz-free space over a Banach space X of density κ, denoted by F (X), is linearly isomorphic to the l 1 -sum of κ copies of F (X) . This provides an extension of a previous result from Kaufmann in ...
On Lipschitz-free spaces over spheres of Banach spaces
(Richard Aron, 2021)
We prove that, for each Banach space X which is isomorphic to its hyperplanes, the Lipschitz-free spaces over X and over its sphere are isomorphic.
On approximation properties in Lipschitz-free spaces over groups
(Wiley, 2022-04-05)
We study Lipschitz-free spaces over compact and uniformly discrete metric spaces enjoying certain high regularity properties - having group structure with left-invariant metric. Using methods of harmonic analysis we show ...
Isomorphisms between spaces of Lipschitz functions
(Guido De Philippis, 2019)
We develop tools for proving isomorphisms of normed spaces
of Lipschitz functions over various doubling metric spaces and Banach
spaces. In particular, we show that Lip0(Zd) ≃ Lip0(Rd), for all d ∈ N.
More generally, ...
ON THE GEOMETRY OF BANACH SPACES OF THE FORM Lip0(C(K))
(Stephen Dilworth, 2021)
We investigate the problem of classifying the Banach spaces Lip0(C(K)) for Hausdorff
compacta K. In particular, sufficient conditions are established for a space Lip0(C(K)) to be
isomorphic to Lip0(c0(Γ )) for some ...
On the existence of free actions of the groups Z_2, S^1 and S^3 on some finitistic spaces and cohomology of orbit spaces
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2021-12-16)
Let G be a compact Lie group and X be a finitistic space. If G acts continuously on X, we can construct the fibration
X \hookrightarrow X_{G} \arrow & B_{G}, (1)
called Borel fibration, where G\hookrightarrow ...
Free electromagnetic field in Riemannian space-time via DKP theory
(World Scientific Publ Co Pte Ltd, 2002-11-20)
We study the massless Duffin-Kemmer-Petiau (DKP) equation in Riemannian space-times, particularly the massless spin 1 sector which reproduces the free Maxwell's equations.
Free electromagnetic field in Riemannian space-time via DKP theory
(World Scientific Publ Co Pte Ltd, 2002-11-20)
We study the massless Duffin-Kemmer-Petiau (DKP) equation in Riemannian space-times, particularly the massless spin 1 sector which reproduces the free Maxwell's equations.