Nonlinear centralizers in homology II: The Schatten classes

• Félix Cabello Sánchez ^[1]
  1. [1] Universidad de Extremadura

     Universidad de Extremadura

     Badajoz, España

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 37, Nº 6, 2021, págs. 2309-2346
• Idioma: inglés
• DOI: 10.4171/rmi/1265
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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: