ABSTRACT
DEFINITION2.2 Let A C X be X-linear. Let M : A -> B(R). We say that M is Xlincaron A if M (F + G) = M (F) + M(G), M(aF ) = aM(F) for all F, G € A, a € R . If M : A -> • R and it is X-linear on A , then we say that M is an X-linear functional on A. LEMMA 2.3 Let A C X be X-linear. Let M : A -* SB(R). Let M be X-linear on A. Then M(F) = M(co(F)) for every F e A, where co(F)(t) = [ /(F )( r ) , f (F )( t )] for every t e R.
