
theorem Th26:
  for X,Y be RealNormSpace holds
  R_NormSpace_of_BoundedMultilinearOperators(<*X*>,Y)
    = R_NormSpace_of_BoundedLinearOperators(product <*X*>,Y)
  proof
    let X,Y be RealNormSpace;
    A1: R_VectorSpace_of_MultilinearOperators(<*X*>,Y)
      = R_VectorSpace_of_LinearOperators(product <*X*>,Y) by Th25;
    BoundedMultilinearOperatorsNorm(<*X*>,Y)
      = BoundedLinearOperatorsNorm(product <*X*>,Y) by Th24;
    hence thesis by A1;
  end;
