5 papers · 1 filter
An Isometric Representation for the Lipschitz-Free Space of Length Spaces Embedded in Finite-Dimensional Spaces
Gonzalo Flores
For a domain in a finite-dimensional space , we consider the space where is the intrinsic distance in . We obtain an isometric representation of the space $…
On curve-flat Lipschitz functions and their linearizations
Gonzalo Flores, Mingu Jung, Gilles Lancien +3
We show that several operator ideals coincide when intersected with the class of linearizations of Lipschitz maps. In particular, we show that the linearization of a…
Index of symmetry and topological classification of asymmetric normed spaces
M Bachir, G. Flores
Let X, Y be asymmetric normed spaces and Lc(X, Y) the convex cone of all linear continuous operators from X to Y. It is known that in general, Lc(X, Y) is not a vector space. The a…
Compact and Limited Operators
Mohammed Bachir, Gonzalo Flores, Sebastián Tapia-García
Let be a bounded linear operator between two normed spaces. We characterize compactness of in terms of differentiability of the Lipschitz functions defined on wi…
On an identification of the Lipschitz-free spaces over subsets of
Gonzalo Flores
In this short note, we develop a method for identifying the spaces for every nonempty open convex of and . Moreover, we show that…