Semireflexive Spaces In Which The Theorem On The Derivative-Of-The-Inverse Fails For Frechet Derivatives.
We give characterizations of certain properties of continuous linear maps between Fréchet spaces, as well as topological properties on Fréchet spaces, in terms of generalizations of Behrends and Kadets small ball property.
In this paper we obtain several classes of separated locally convex spaces which are M-spaces. We give also some results on compact convex sets and new characterization of weak compactness.