theorem
  for X, Y be RealNormSpace holds RLSStruct (# BoundedLinearOperators(X,
Y), Zero_(BoundedLinearOperators(X,Y), R_VectorSpace_of_LinearOperators(X,Y)),
Add_(BoundedLinearOperators(X,Y), R_VectorSpace_of_LinearOperators(X,Y)), Mult_
    (BoundedLinearOperators(X,Y), R_VectorSpace_of_LinearOperators(X,Y)) #) is
  Subspace of R_VectorSpace_of_LinearOperators(X,Y) by Th22,RSSPACE:11;
