5 papers
A positive version of Miljutin's Theorem
Javier Laguna-Ricart, Gonzalo Martínez-Cervantes, Jakub Rondoš +2
In this paper we provide a positive version of Miljutin's theorem. Namely, we show that for any uncountable compact metric spaces and there exists a positive isomorphism $T…
On the property (C) of Corson and other sequential properties of Banach Spaces
Gonzalo Martínez-Cervantes, Alejandro Poveda
A well-known result of R. Pol states that a Banach space has property () of Corson if and only if every point in the weak*-closure of any convex set $C \subseteq B…
Rank-one perturbations and norm-attaining operators
Gonzalo Martínez-Cervantes, Mingu Jung, Abraham Rueda Zoca
The main goal of this article is to show that for every (reflexive) infinite-dimensional Banach space there exists a reflexive Banach space and …
Extremal structure of projective tensor products
Luis C. García-Lirola, Guillaume Grelier, Gonzalo Martínez-Cervantes +1
We prove that, given two Banach spaces and and bounded, closed convex sets and , if a nonzero element $z\in \overline{\mathrm{co}}(C\otimes D)\…
Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps
Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca +1
We prove that if is an infinite complete metric space then the set of strongly norm-attaining Lipschitz functions $\SA(M)$ contains a linear subspace isomorphic to . This…