13 citations · 20 across the 5 of their papers we have counts for
7 papers
Compact spaces associated to separable Banach lattices
Antonio Avilés, Gonzalo Martínez Cervantes, Abraham Rueda Zoca +1
We study the class of compact spaces that appear as structure spaces of separable Banach lattices. In other words, we analyze what spaces appear as principal ideals of separ…
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 . By using a theorem due to Pfitzner on James b…
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 generated by a Banach space . We prove that if is an -space, a predual of von Neumann algeb…
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 must contain an -subsequence. As a…
On the Banach lattice c_0
Antonio Avilés, Gonzalo Martínez-Cervantes, José David Rodríguez Abellán
We show that is not a projective Banach lattice, answering a question of B. de Pagter and A. Wickstead. On the other hand, we show that is complemented in the free Bana…
Completeness in the Mackey topology by norming subspaces
A. J. Guirao, G. Martínez-Cervantes, J. Rodríguez
We study the class of Banach spaces such that the locally convex space is complete for every norming and norm-closed subspace , where denot…
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.