G. Martínez-Cervantes

activity

20182021

collaborators

6 papers

math.FA2021

On the existence of non-norm-attaining operators

Sheldon Dantas, Mingu Jung, Gonzalo Martínez-Cervantes

In this paper we provide necessary and sufficient conditions for the existence of non-norm-attaining operators in $L (E, F)$ . By using a theorem due to Pfitzner on James b…

math.FA2020

Octahedral norms in free Banach lattices

Sheldon Dantas, Gonzalo Martínez-Cervantes, José David Rodríguez Abellán +1

In this paper, we study octahedral norms in free Banach lattices $F B L [E]$ generated by a Banach space $E$ . We prove that if $E$ is an $L_{1} (μ)$ -space, a predual of von Neumann algeb…

math.FA2020

On projective Banach lattices of the form C(K) and FBL[E]

Antonio Avilés, Gonzalo Martínez-Cervantes, José David Rodríguez Abellán

We show that if a Banach lattice is projective, then every bounded sequence that can be mapped by a homomorphism onto the basis of $c_{0}$ must contain an $ℓ_{1}$ -subsequence. As a…

math.FA2019

On the Banach lattice c_0

Antonio Avilés, Gonzalo Martínez-Cervantes, José David Rodríguez Abellán

We show that $c_{0}$ is not a projective Banach lattice, answering a question of B. de Pagter and A. Wickstead. On the other hand, we show that $c_{0}$ is complemented in the free Bana…

math.FA2018

Completeness in the Mackey topology by norming subspaces

A. J. Guirao, G. Martínez-Cervantes, J. Rodríguez

We study the class of Banach spaces $X$ such that the locally convex space $(X, μ (X, Y))$ is complete for every norming and norm-closed subspace $Y \subset X^{*}$ , where $μ (X, Y)$ denot…

math.GN2018

On fragmentable compact lines

Antonio Avilés, Gonzalo Martínez-Cervantes, Grzegorz Plebanek +1

We prove that if a compact line is fragmentable, then it is a Radon-Nikodým compact space.