14 citations · 40 across the 38 of their papers we have counts for
9 papers · 1 filter
Banach spaces containing and elements in the fourth dual
Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca
A recent result of T.~Abrahamsen, P.~Hájek and S.~Troyanski states that a separable Banach space is almost square if and only if there exists such that $\|x+h\|…
Linear versus lattice embeddings between Banach lattices
Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca +1
A well-known classical result states that is linearly embeddable in a Banach lattice if and only if it is lattice embeddable. Improving results of H.P.~Lotz, H.P.~Rosenthal a…
Lattice embeddings in free Banach lattices over lattices
Antonio Avilés, Gonzalo Martínez-Cervantes, José David Rodríguez Abellán +1
In this article we deal with the free Banach lattice generated by a lattice and its behavior with respect to subspaces. In general, any lattice embedding $i\colon \mathbb{L} \longr…
Local complementation in Banach spaces and its preservation under free constructions
Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca
In this work we consider natural generalizations of local complementation in Banach spaces, which include Lipschitz-local complementation. We show that all these notions are indeed…
On norm-attainment in (symmetric) tensor products
Sheldon Dantas, Luis C. García-Lirola, Mingu Jung +1
In this paper, we introduce a concept of norm-attainment in the projective symmetric tensor product of a Banach space , which turns out to be natur…
A characterisation of -preduals in terms of extending Lipschitz maps
Abraham Rueda Zoca
We characterise the Banach spaces which are -predual as those for which every Lipschitz compact mapping admits, for every and every…
-orthogonal elements and -orthogonal sequences
Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca
Given a Banach space , we say that a sequence in the unit ball of is -orthogonal if for every . On the othe…
Free Banach lattices generated by a lattice and projectivity
Antonio Avilés, Gonzalo Martínez-Cervantes, José David Rodríguez Abellán +1
In this article we deal with the free Banach lattice generated by a lattice . We prove that if is projec…
Daugavet points in projective tensor products
Sheldon Dantas, Mingu Jung, Abraham Rueda Zoca
In this paper, we are interested in studying when an element in the projective tensor product turns out to be a Daugavet point. We prove first that, un…