Limited Sets in C(K)‐Spaces and Examples Concerning the Gelfand‐Phillips‐Property Academic Article uri icon


  • In this paper we give criteria for limitedness in C(K)‐spaces and discuss the Gelfand‐Phillips‐property. We show that the Gelfand‐Phillips‐property is not a three‐space‐property, that l1 ⊄ X does not imply the Gelfand‐Phillips‐property of X and that the Gelfand‐Phillips‐property 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 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

author list (cited authors)

  • Schlumprecht, T.

citation count

  • 4

publication date

  • January 1992