reserve X for non empty set;
reserve Y for ComplexLinearSpace;
reserve f,g,h for Element of Funcs(X,the carrier of Y);
reserve a,b for Complex;
reserve u,v,w for VECTOR of CLSStruct(#Funcs(X,the carrier of Y), (FuncZero(X,
    Y)),FuncAdd(X,Y),FuncExtMult(X,Y)#);

theorem
  for X,Y be ComplexNormSpace holds 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
  Subspace of C_VectorSpace_of_LinearOperators(X,Y) by Th21,CSSPACE:11;
