The equivalence of the weak (pointwise) and strong convergence of a sequence of inner superposition operators is proved as well as the criteria for such convergence are provided. Besides, the problems of continuous weak convergence of such operators and of representation of a limit operator are studied.

Original languageEnglish
Pages (from-to)173-179
Number of pages7
JournalProceedings of the American Mathematical Society
Volume126
Issue number1
StatePublished - 1 Dec 1998

    Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

ID: 53718975