30 citations · 52 across the 9 of their papers we have counts for
12 papers
An example regarding Kalton's paper "Isomorphisms between spaces of vector-valued continuous functions"
Félix Cabello Sánchez
The paper alluded to in the title contains the following striking result: Let be the unit interval and the Cantor set. If is a quasi Banach space containing no copy of…
When Kalton and Peck met Fourier
Félix Cabello Sánchez, Alberto Salguero-Alarcón
The paper studies short exact sequences of Banach modules over the convolution algebra , where is a compact abelian group. The main tool is the notion of a nonlinea…
Nonlinear Centralizers in Homology II. The Schatten classes
Félix Cabello Sánchez
The paper computes the spaces of extensions for the Schatten classes when they are regarded in its natural module structure over the algebra of bounded operators on the ground Hilb…
Higher order derivatives of analytic families of Banach spaces
Félix Cabello Sánchez, Jesús M. F. Castillo, Willian H. G. Correa
We show that the Rochberg spaces induced by complex interpolation form themselves complex interpolation scales, obtain the interpolated spaces and associated derivations. We presen…
Quiz your maths: do the uniformly continuous functions on the line form a ring?
Félix Cabello Sánchez, Javier Cabello Sánchez
The paper deals with the interplay between boundedness, order and ring structures in function lattices on the line and related metric spaces. It is shown that the lattice of all Li…
On the bounded approximation property on subspaces of when and related issues
Félix Cabello Sánchez, Jesús M. F. Castillo, Yolanda Moreno
This paper studies the bounded approximation property (BAP) in quasi Banach spaces. In the first part of the paper we show that the kernel of any surjective operator …
Twisting non-commutative spaces
Félix Cabello Sánchez, Jesús M. F. Castillo, Stanislaw Goldstein +1
The paper makes the first steps into the study of extensions ("twisted sums") of noncommutative -spaces regarded as Banach modules over the underlying von Neumann algebra $\ma…
-injective Banach spaces and -projective compacta
Antonio Avilés, Félix Cabello Sánchez, Jesús M. F. Castillo +2
A Banach space is said to be injective if for every Banach space and every subspace of every operator has an extension . We say that is $\a…
Complex interpolation and twisted twisted Hilbert spaces
Félix Cabello Sánchez, Jesús M. F. Castillo, Nigel J. Kalton
We show that Rochberg's generalizared interpolation spaces arising from analytic families of Banach spaces form exact sequences $0\to \mathscr Z^{(n)} \to \maths…
Quasi-Banach spaces of almost universal disposition
Félix Cabello Sánchez, Joanna Garbulińska-Wegrzyn, Wiesław Kubiś
We show that for each there exists a separable -Banach space of almost universal disposition, that is, having the following extension property: for eac…
On ultrapowers of Banach spaces of type
Antonio Avilés, Félix Cabello Sánchez, Jesús M. F. Castillo +2
We prove that no ultraproduct of Banach spaces via a countably incomplete ultrafilter can contain complemented. This shows that a "result" widely used in the theory of ultrap…
On separably injective Banach spaces and Corrigendum to "On separably injective Banach spaces" [Adv. Math. 234 (2013) 192--216]
Antonio Aviles, Felix Cabello, Jesus M. F. Castillo +2
In this paper we deal with two weaker forms of injectivity which turn out to have a rich structure behind: separable injectivity and universal separable injectivity. We show severa…