Operator Theorem

Abstract

We determined Fatou's lemma for Bounded functions and behavior of functions of Bounded type with their canonical factorization . We class , fy inner and outer functions and their uniqueness and on disk and halfplane we show the toilets operators and the factorization of the non-negative operators valued and pseudomeromorphic functions. We give the Fejer-Riesz theorem , the vatianal and entire function of exponential type with operators extension of krein’s theorem with class . operator extension of theorem is Considered