theorem Th24: :: LOPBAN10:30

for X being RealNormSpace-Sequence
for Y being RealNormSpace
for f, g, h being VECTOR of (R_VectorSpace_of_BoundedMultilinearOperators (X,Y)) holds
( h = f + g iff for x being VECTOR of (product X) holds h . x = (f . x) + (g . x) )