7 citations · 10 across the 5 of their papers we have counts for
8 papers · 1 filter
On complementation and -embedding of Lipschitz-free spaces in their biduals
Bruno M. Braga, Chris Gartland, Gilles Lancien +3
A closed subspace of a Banach space is \emph{-embedded in } if there is a projection such that for all . We show that…
On the -embeddability of Lipschitz-free spaces in their biduals
Bruno de Mendonça Braga, Chris Gartland, Gilles Lancien +3
A Banach space is -embedded in its bidual if there is a projection such that for all . We show that, as long as $X…
Expanders prevent Property (H)
Bruno de Mendonç Braga, Chris Gartland, Gilles Lancien +3
We show that if a sequence of expander graphs equi-coarsely embeds into a Banach space, then this Banach space fails Kasparov and Yu's Property (H). Consequently, no Banach space w…
On the uniform continuity of homeomorphisms between the spheres of and
Bruno de Mendonça Braga, Chris Gartland, Gilles Lancien +3
We consider the problem of whether there is a sequence of homeomorphisms between the unit spheres of the -dimensional Banach spaces and whic…
Equivariant liftings in Lipschitz-free spaces
Valentin Ferenczi, Pedro L. Kaufmann, Eva Pernecká
We consider Banach spaces that can be linearly lifted into their Lipschitz-free spaces and, for a group acting on by linear isometries, we study the po…
A solution to the extreme point problem and other applications of Choquet theory to Lipschitz-free spaces
Ramón J. Aliaga, Eva Pernecká, Richard J. Smith
We prove that every element of a Lipschitz-free space admits an expression as a convex series of elements with compact support. As a consequence, we conclude that all extreme point…
De Leeuw representations of functionals on Lipschitz spaces
Ramón J. Aliaga, E. Pernecká, Richard J. Smith
Let be the space of Lipschitz functions on a complete metric space that vanish at a point . We investigate its dual using…
Convex integrals of molecules in Lipschitz-free spaces
Ramón J. Aliaga, Eva Pernecká, Richard J. Smith
We introduce convex integrals of molecules in Lipschitz-free spaces as a continuous counterpart of convex series considered elsewhere, based on the de Leeuw repres…