Real hereditarily indecomposable Banach spaces and uniqueness of complex structure

  • Valentin Ferenczi
  • Published 2005


There exists a real hereditarily indecomposable Banach space X = X(C) (resp. X = X(H)) such that the algebra L(X)/S(X) is isomorphic to C (resp. to the quaternionic division algebra H). Up to isomorphism, X(C) has exactly two complex structures, which are conjugate, totally incomparable, and both hereditarily indecomposable. So there exist two Banach spaces… (More)


Figures and Tables

Sorry, we couldn't extract any figures or tables for this paper.