Non-commutative HE(A;l∞) and HE(A;l1) spaces

Abstract

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