5 papers
New results on Fourier multipliers on : a perspective through unimodular symbols
María Jesús Carro, Alberto Salguero-Alarcón
The paper focuses on the behaviour of unimodular Fourier multipliers with exponential growth in the context of weighted -spaces. Our main result shows that much of the general…
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…
Free quasi-Banach lattices
Alberto Salguero-Alarcón, Pedro Tradacete, Nazaret Trejo-Arroyo
We study different versions of \emph{free objects} in the setting of quasi-Banach spaces and quasi-Banach lattices. Special attention is devoted to the free -convex -Banach l…
A negative solution to the complemented subspace problem in Banach lattices
D. de Hevia, G. Martínez-Cervantes, A. Salguero-Alarcón +1
Building on a recent construction of G. Plebanek and the third named author, it is shown that a complemented subspace of a Banach lattice need not be linearly isomorphic to a Banac…
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…