"How to Define a Topology in Spaces of
Real Analytic Functions?"
Abstract: There are two ways to define a natural topology in spaces of real analytic functions: as a projective limit of inductive limits of certain Banach spaces or as an inductive limit of projective limits. Martineau (1966) showed that these topologies coincide. We consider some linear topological properties of such spaces. The most interesting is that the space of real analytic functions has no topological basis (Domanski, Vogt, 2000).
Date: Tuesday, April 8, 2014
Place: Mathematics Seminar Room, SA-141
Tea and cookies will be served before the seminar.