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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…
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…