摘要
首先给出了具有单位元的 Ｌ∞－ Ｂａｎａｃｈ 代数的内理想的刻画，由此推广了［１］ 定理２ ．２ ．然后我们给出了具有收缩逼近单位元的 Ｌ∞ － Ｂａｎａｃｈ 代数之间的一个同构定理．作为推论，我们证明了：两个 Ｃ 代数之间的完全等距映射是同构的．
In this paper, first we gave a characterization of inner ideal of a unital L ∞-Banach algebra A; this result generalized[1] Theorem 2.2. Then we obtain an isomorphism theorem between non-unital L ∞-banach algebras which have contractive approximate identities. As corollary in the last we proved: The completely isometry linear map between two C *-algebras is * isomorphism.
出处
《南京大学学报（自然科学版）》
CAS
CSCD
1999年第4期502-504,共3页
Journal of Nanjing University（Natural Science）
