Functional analysis



Functional analysis is a branch of mathematical analysis dealing with the study of normed, Banach, and Hilbert spaces endowed with some kind of limit-related structure such as for instance an inner product, norm, topology, etc. and the linear operators acting upon these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining, e.g., continuous, unitary, etc. operators between function spaces. This point of view turns out to be particularly useful for the study of differential and integral equations.

Course period17/01/21 → …