JournalsprimsVol. 40, No. 1pp. 1–6

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
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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.

Cite this article

Gerardo Chacón, Vicente Montesinos, Alfredo Octavio, A Note on the Intersection of Banach Subspaces. Publ. Res. Inst. Math. Sci. 40 (2004), no. 1, pp. 1–6

DOI 10.2977/PRIMS/1145475964