Some Representation Theorem for nonreflexive Banach space ultrapowers   under the Continuum Hypothesis
  In this paper it will be shown that assuming the Continuum Hypothesis (CH) every nonreflexive Banach space ultrapower is isometrically isomorphic to the space of continuous, bounded and real-valued functions on the Parovicenko space. This Representation Theorem will be helpful in proving some facts from geometry and topology of nonreflexive Banach space ultrapowers. 
Piotr Wilczek
math.LO math.FA