6 papers
Derived functors associated to the ideal of compact operators in Banach spaces
Félix Cabello Sánchez, Jesús M. F. Castillo, Alberto Salguero-Alarcón +1
We compute the derived functors of (the functors associated to) the ideal of compact operators in Banach spaces and obtain new results about the extension and lifting of compact op…
Interpolation of Directional Banach Spaces and Commutator Estimates
Félix Cabello Sánchez, Willian Corrêa, Ben-Hur Eidt
We generalize the complex interpolation formula from the context of Banach function spaces to that of directional Banach spaces. We also obtain a form…
Accessible operators on ultraproducts of Banach spaces
Félix Cabello Sánchez
We address a question by Henry Towsner about the possibility of representing linear operators between ultraproducts of Banach spaces by means of ultraproducts of nonlinear maps. We…
Dynamics of the semigroup of contractive automorphisms of Banach spaces
Félix Cabello Sánchez, Javier Cabello Sánchez
Motivated by some recent twaddles on Mazur rotations problem, we study the "dynamics" of the semigroup of contractive automorphisms of Banach spaces, mostly in finite-dimensional s…
On the category of quotient Banach spaces after Wegner
Félix Cabello Sánchez, José Navarro Garmendia
We study Waelbroeck's category of Banach quotients after Wegner, focusing on its basic homological and functional analytic properties.
Wheeling around Mazur rotations problem
Félix Cabello Sánchez
We study Mazur rotations problem focusing on the metric aspects of the action of the isometry group and semitransitivity properties.