THE SUPPORT LOCALIZATION PROPERTY OF THE STRONGLY EMBEDDED SUBSPACES OF BANACH FUNCTION SPACES

Autores UPV
Año
Revista STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA

Abstract

Motivated by the well known Kadec-Pelczynski disjointifcation theorem, we undertake an analysis of the supports of non-zero functions in strongly embedded subspaces of Banach functions spaces. The main aim is to isolate those properties that bring additional information on strongly embedded subspaces. This is the case of the support localization property, which is a necessary condition fulflled by all strongly embedded subspaces. Several examples that involve Rademacher functions, the Volterra operator, Lorentz spaces or Orlicz spaces are provided.