Composition operators
Study of composition operators and their relationship with the properties of the symbol that defines it. Special attention to the topological properties of the operators and to the metric properties whether of the natural norm of the space or the essential one. Interest in spectral properties.
Infinite-dimensional holomorphy
Study of the analytical applications between Banach spaces. Both their individual behaviour with respect to classes of sets, as well as the possible algebraic-topological structures that they may have as a set.
