A Class of Completely Positive Maps
Weihua Liu, Junde Wu · arXiv (Cornell University) · 2009
Abstract. Let H be a complex Hilbert space, B(H) be the set of bounded linear operator on H, E(H) be the set of {A ∈ B(H) : 0 ≤ A ≤ I}, 1 ≤ n ≤ ∞, A = {Ei} n i=1 ⊆ E(H) be commutative, ΦA be the completely positive map which be defined by ΦA: B(H) − → B(H): B ↦− → ∑ AnBA ∗ n. In this paper, we prove the following results: