# Functional Analysis and Approximation

The concept of a mathematical function plays a central role in both pure mathematics and the mathematical modelling of real-world phenomena. In functional analysis, we investigate functions by considering them as elements of certain mathematical structures called function spaces. It is easier and often more instructive to study function spaces than individual functions.

Main themes of our research include (a) mapping properties of operators acting between various function spaces; (b) relations between smoothness, variational and approximation properties of functions; and (c) applications of such results to other areas of mathematics and science.