Limited Sets in C(K)Spaces and Examples Concerning the GelfandPhillipsProperty Academic Article uri icon


  • In this paper we give criteria for limitedness in C(K)spaces and discuss the GelfandPhillipsproperty. We show that the GelfandPhillipsproperty is not a threespaceproperty, that l1 X does not imply the GelfandPhillipsproperty of X and that the GelfandPhillipsproperty of a space X does not imply that the dual unit ball contains a w*sequentially precompact subset which norms X up to a constant. Copyright 1992 WILEYVCH Verlag GmbH & Co. KGaA, Weinheim

published proceedings

  • Mathematische Nachrichten

author list (cited authors)

  • Schlumprecht, T.

citation count

  • 5

complete list of authors

  • Schlumprecht, Thomas

publication date

  • January 1992