theorem Th38:
  for X,Y be ComplexNormSpace holds
  C_NormSpace_of_BoundedLinearOperators(X,Y) is ComplexNormSpace
proof
  let X,Y be ComplexNormSpace;
  CLSStruct (# BoundedLinearOperators(X,Y), Zero_(BoundedLinearOperators(X
,Y), C_VectorSpace_of_LinearOperators(X,Y)), Add_(BoundedLinearOperators(X,Y),
    C_VectorSpace_of_LinearOperators(X,Y)), Mult_(BoundedLinearOperators(X,Y),
    C_VectorSpace_of_LinearOperators(X,Y)) #) is ComplexLinearSpace;
  hence thesis by Th37,CSSPACE3:2;
end;
