7 papers · 1 filter
Derivatives of Tensor Products and Applications to Spaces
Leandro Candido
In this paper we develop an abstract theory of derivatives for Banach spaces based on objects that we call \emph{bidual assignments}. This framework encompasses both the Semadeni d…
A lifting theorem for operators between Lipschitz spaces
Leandro Candido
We prove that every bounded linear operator between Lipschitz spaces admits a lifting along the de Leeuw embedding. More precisely, given pointed metric spaces and and $ε>0…
Complementations in and
Leandro Candido
We investigate the geometry of and spaces through complemented subspaces of the form . Concerning the…
On the geometry of Banach spaces of the form
Leandro Candido, Pedro L. Kaufmann
We investigate the problem of classifying the Banach spaces for Hausdorff compacta . In particular, sufficient conditions are established for a space $\ma…
On Lipschitz-free spaces over spheres of Banach spaces
Leandro Candido, Pedro Levit Kaufmann
We prove that, for each Banach space which is isomorphic to its hyperplanes, the Lipschitz-free spaces over and over its sphere are isomorphic.
Isomorphisms between spaces of Lipschitz functions
Leandro Candido, Marek Cúth, Michal Doucha
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 $\operatorname{…