29 citations · 31 across the 9 of their papers we have counts for
10 papers
A remark on totally smooth renormings
Ch. Cobollo, A. J. Guirao, V. Montesinos
E. Oja, T. Viil, and D. Werner showed, in [Totally smooth renormings, Archiv der Mathematik, 112, 3, (2019), 269--281] that a weakly compactly generated Banach space $(X,\|\cdot \|…
On projectional skeletons and the Plichko property in Lipschitz-free Banach spaces
Antonio J. Guirao, Vicente Montesinos, Andrés Quilis
We study projectional skeletons and the Plichko property in Lipschitz-free spaces, relating these concepts to the geometry of the underlying metric space. Specifically, we identify…
The numerical index of -dimensional Lipschitz-free spaces
Ch. Cobollo, A. J. Guirao, V. Montesinos
We provide the explicit formula for the numerical index of any -dimensional Lipschitz-free space, also giving the construction of operators attaining this value as its numerical…
Phelps Property U and spaces
Ch. Cobollo, A. J. Guirao, V. Montesinos
A subspace of a Banach space has whenever every continuous linear functional on has a unique norm-preserving (i.e., HahnBanach) extension to $Y…
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 the preserved extremal structure of Lipschitz-free spaces
Ramón J. Aliaga, Antonio J. Guirao
We characterize preserved extreme points of Lipschitz-free spaces in terms of simple geometric conditions on the underlying metric space . Namely, each pres…
-flatness and Bishop-Phelps-Bollobás type theorems for operators
Bernardo Cascales, Antonio J. Guirao, Vladimir Kadets +1
The Bishop-Phelps-Bollobás property deals with simultaneous approximation of an operator and a vector at which nearly attains its norm by an operator and a vector…
Weakly compactly generated Banach lattices
Antonio Avilés, Antonio J. Guirao, Sebastián Lajara +2
We study the different ways in which a weakly compact set can generate a Banach lattice. Among other things, it is shown that in an order continuous Banach lattice , the existen…
The Bishop-Phelps-Bollobás property for numerical radius in
Antonio J. Guirao, Olena Kozhushkina
We show that the set of bounded linear operators from to admits a Bishop-Phelps-Bollobás type theorem for numerical radius whenever is or $c_0(\mat…
On the Bishop-Phelps-Bollobas property for numerical radius in C(K)-spaces
Antonio Avilés, Antonio J. Guirao, José Rodríguez
We study the Bishop-Phelps-Bollobas property for numerical radius within the framework of C(K) spaces. We present several sufficient conditions on a compact space K ensuring that C…