:: deftheorem defines R_VectorSpace_of_BoundedMultilinearOperators LOPBAN10:def 12 :
for X being RealNormSpace-Sequence
for Y being RealNormSpace holds R_VectorSpace_of_BoundedMultilinearOperators (X,Y) = RLSStruct(# (BoundedMultilinearOperators (X,Y)),(Zero_ ((BoundedMultilinearOperators (X,Y)),(R_VectorSpace_of_MultilinearOperators (X,Y)))),(Add_ ((BoundedMultilinearOperators (X,Y)),(R_VectorSpace_of_MultilinearOperators (X,Y)))),(Mult_ ((BoundedMultilinearOperators (X,Y)),(R_VectorSpace_of_MultilinearOperators (X,Y)))) #);