4 papers
The Twisted Hilbert Space Ideals
Félix Cabello Sánchez, Ricardo García
We study those operators on a Hilbert space that can be lifted / extended to any twisted Hilbert space. We prove that these form an ideal of operators which contains all the Schatt…
On Mazur rotations problem and its multidimensional versions
Félix Cabello Sánchez, Valentin Ferenczi, Beata Randrianantoanina
The article is a survey related to a classical unsolved problem in Banach space theory, appearing in Banach's famous book in 1932, and known as the Mazur rotations problem. Althoug…
On Banach spaces whose group of isometries acts micro-transitively on the unit sphere
Félix Cabello Sánchez, Sheldon Dantas, Vladimir Kadets +3
We study Banach spaces whose group of isometries acts micro-transitively on the unit sphere. We introduce a weaker property, which one-complemented subspaces inherit, that we call…
Fine structure of the homomorphisms of the lattice of uniformly continuous functions on the line
Félix Cabello Sánchez
We provide a representation of the homomorphisms , where is the lattice of all uniformly continuous on the line. The resulting picture is sharp enou…