Some results about diametral dimensions

The diametral dimension is an important topological invariant, especially in the context of Köthe sequence spaces. This poster presents some results concerning the equality of the diametral dimension with one of its variants. It is based on a joint work with Françoise Bastin, Leonhard Frerick, and Jochen Wengenroth. Firstly, it gives sufficient conditions to have the equality between the two diametral dimensions for a Fréchet space. Secondly, it provides some examples of spaces verifying these conditions. Finally, it gives a family of Schwartz - or even nuclear - (non metrizable) locally convex spaces for which the two diametral dimensions are different.