26 citations · 79 across the 54 of their papers we have counts for
62 papers
Isometries without linear shadows: failure of Figiel's theorem beyond local convexity
Fernando Albiac, José L. Ansorena, Marek Cúth
A classical theorem of Figiel asserts that every isometric embedding between real Banach spaces, with , admits a linear contractive left inverse on the clo…
Differentiability of Lipschitz curves in -Banach spaces
Fernando Albiac, José L. Ansorena, Pietro Wald
The problem of differentiating Lipschitz curves in Banach spaces goes back to Tamarkin in the early 1930s and is one of the origins of the Radon--Nikodým property in classical Bana…
Structural consequences of the Schur -property for Lipschitz-free -spaces
Fernando Albiac, José L. Ansorena, Marek Cúth
Let . We show that the Schur -property provides a powerful structural principle for Lipschitz-free -spaces. Our main result asserts that has t…
Boundedness of the averaging projections in nonlocally convex Lorentz sequence spaces and applications to basis theory
Fernando Albiac, José L. Ansorena, Miguel Berasategui
We study the boundedness of averaging projections associated with symmetric Schauder bases in quasi-Banach spaces. Although this property is standard in the Banach setting, it is f…
Lipschitz extensions into -Banach spaces, and canonical embeddings of Lipschitz-free -spaces for
Fernando Albiac, José L. Ansorena
We show that inclusions of -metric spaces always produce genuine linear embeddings at the level of Lipschitz-free -spaces. More precisely, for every and every inclusi…
Isometric renormings for greedy bases in Banach spaces, with applications to the Haar System in ,
Fernando Albiac, José L. Ansorena, Miguel Berasategui +1
We investigate the problem of improving the greedy-type constant of a basis by means of an equivalent renorming of the ambient Banach space. Our main result shows that if a Banach…