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The Quarterly Journal of Mathematics Advance Access published online on February 26, 2009
The Quarterly Journal of Mathematics, doi:10.1093/qmath/hap002
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© 2009. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

A SHORT PROOF OF A THEOREM OF PFITZNER

Francisco J. Fernández-Polo {dagger} and Antonio M. Peralta{ddagger}

Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain

{ddagger} Corresponding author. E-mail:aperalta{at}ugr.es

Received 4 December 2008;
  Abstract

We present a new and shorter proof of the characterization of weak compactness in the dual of a C*-algebra obtained by Pfitzner [H. Pfitzner, Weak compactness in the dual of a C*-algebra is determined commutatively, Math. Ann. 298(2) (1994), 349–371].

{dagger} E-mail: pacopolo{at}ugr.es


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