Our research group main framework is Functional Analysis, in particular: Theory of Summability of Series: Operator Theory; Geometry of Banach Spaces; links between Operator Theory and Geometry of Banach Spaces (with remarkable advances on Supporting Vector Analysis, and its applications to Bioengineering and Physics, as well as on Banach-Stone-like representations for mappings between Lipschitz functions). This framework also involves studies on the mathematical foundations from the perspective of the history of Mathematical Analysis. Finally, another scope of work is the transference of the knowledge generated by our research to the industry and business network.

Series and summability in normed spaces

Topological modules

Composition Operators

Lipschitz Spaces

Bishop-Phelps-Bollobás Property

Measure Theory in effect algebras

History of Mathematical Analysis

Taking into consideration the research lines of our group, the members of our research group are internationally recognized experts on several techniques and methodologies, among which we highlight the following:

1) Mathematical modelling of Real-life problema derived from Biongineering, Physics and Statistics.

2) Designing of new and innovative mathematical tools, under the context of infinitesimal calculus and functional analysis, for the resolution of a wide variety of problems derived from the modeling as well as those of strictly mathematical nature.

3) Rigorous proofs, by means of formal mathematical languages, of the logical truthfulness of the new mathematical tools designed.