JournalsprimsVol. 40 , No. 1DOI 10.2977/prims/1145475964

A Note on the Intersection of Banach Subspaces

  • Gerardo Chacón

    Universidad de los Andes, San Cristobal, Venezuela
  • Vicente Montesinos

    Universidad Politecnia de Valencia, Spain
  • Alfredo Octavio

    Inst. Venezolano de Investigaciones Scientificas, Caracas, Venezuela
A Note on the Intersection of Banach Subspaces cover

Abstract

We show that reflexivity of a Banach space can be characterized by a simple property formulated in terms of the distance to the intersection of a decreasing countable family of closed subspaces. We provide some explicit examples of the failure of the property in the non-reflexive case.