A Note on the Intersection of Banach Subspaces
Gerardo Chacón
Universidad de los Andes, San Cristobal, VenezuelaVicente Montesinos
Universidad Politecnia de Valencia, SpainAlfredo Octavio
Inst. Venezolano de Investigaciones Scientificas, Caracas, Venezuela
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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