P-continuity on Classical Banach Spaces

  • Pavel Hajek, Theodore W. Gamelin, J. G. LLAVONA
  • Published 1999


Given a Banach space X and an integer n, the existence of an nhomogeneous polynomial which is not uniformly continuous with respect to the polynomial topology on BX is investigated. We provide a complete characterization for some classical Banach spaces, while for others a surprising unresolved difficulty is encountered for a certain value of n (depending… (More)