Resumen de Nonlinear centralizers in homology II: The Schatten classes
An extension of X by Y is a short exact sequence of quasi Banach modules and homomorphisms 0⟶Y⟶Z⟶X⟶0. When properly organized all these extensions constitute a linear space denoted by ExtB(X,Y), where B is the underlying (Banach) algebra. In this paper we "compute" the spaces of extensions for the Schatten classes when they are regarded in its natural (left) module structure over B=B(H), the algebra of all operators on the ground Hilbert space. Our main results can be summarized as follows:
