theorem Th28:
  for X,Y be ComplexNormSpace, f be Lipschitzian LinearOperator of X,Y
  holds modetrans(f,X,Y)=f
proof
  let X,Y be ComplexNormSpace;
  let f be Lipschitzian LinearOperator of X,Y;
  f in BoundedLinearOperators(X,Y) by Def7;
  hence thesis by Def9;
end;
