6 papers
The Ball-Covering Property in Lipschitz-Free Spaces
Ramón J. Aliaga, Colin Petitjean, Antonín Procházka +1
We study ball-covering properties in Lipschitz-free spaces. We establish an extension criterion for proving that fails the ball-covering property and apply it to se…
The compact operators on as a Calkin algebra
Pavlos Motakis, Daniele Puglisi
For a Banach space , let denote the algebra of all bounded linear operators on and let denote the compact operator ideal in $\mathcal{L}(X)…
Algebras of diagonal operators of the form scalar-plus-compact are Calkin algebras
Pavlos Motakis, Daniele Puglisi, Andreas Tolias
For every Banach space with a Schauder basis consider the Banach algebra of all diagonal operators that are of the form $λI + K…
Operators on Bourgain-Delbaen's spaces
Daniele Puglisi
We prove that, for a suitable choice of real numbers , every operator from to and from to must be compact, where is the Bourga…
Linear extension operators between spaces of Lipschitz maps and optimal transport
Luigi Ambrosio, Daniele Puglisi
Motivated by the notion of K-gentle partition of unity introduced in [12] and the notion of K-Lipschitz retract studied in [17], we study a weaker notion related to the Kantorovich…
Dual maps and the Dunford-Pettis property
Francisco J. García-Pacheco, Alejandro Miralles, Daniele Puglisi
We characterize the points of - continuity of dual maps, turning out to be the smooth points. We prove that a Banach space has the Schur property if and…