摘要
We first study the relationship between operators decomposable with respect to identity and decomposable multiplication operators introduced by C. Apostol. Let (?) be a Banaeh space.Theorem 1. T is an operator decomposable with respect to the identity if and only if T is a decomposable multiplication operator on an uniform dosed normal subalgebra A of B((?)).Corollary. The sum or product of two commutative decomposable operators on a reflexive Banach space is decomposable.
