Non-commutative H E(A; ∞ ) and H A(A; 1 ) spaces


Kanat Serikovich Tulenov, O M Zholymbayev




In this paper, we introduce non-commutative HE(A; `∞) and HE(A; `1) spaces. Then it is shown that these spaces possess many of the properties of non-commutative Hp(A) spaces, such as various factor- ization results including a Riesz type factorization theorem and contractibility of conditional expectation