Banach spaces which embed into their dual

Volume 125 / 2011

Valerio Capraro, Stefano Rossi Colloquium Mathematicum 125 (2011), 289-293 MSC: Primary 52A01; Secondary 46L36. DOI: 10.4064/cm125-2-11

Abstract

We use Birkhoff–James' orthogonality in Banach spaces to provide new conditions for the converse of the classical Riesz representation theorem.

Authors

  • Valerio CapraroUniversité de Neuchâtel
    Neuchâtel, Switzerland
    e-mail
  • Stefano RossiUniversità di Roma “La Sapienza”
    Roma, Italy
    e-mail

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