A categorical study of (duality mechanisms) quantitative functional analysis.

Duality mechanisms are an important tool bijhet study and representation of mathematical structures, especially when building relationships funtoriële. One of the prime examples of functional analysis is the famous Gel'fand-Naimark duality between compact Hausdorff spaces and commutative unitale C *- algebras. The goal of this project is to search for and study of similar dualities for broader categories of metrically generated, locally convex algebras approach and the use of these results for the further study of such algebras approach.