Lomonosov引理的逆命题成立

The Converse Proposition of Lomonosov's Lemma is True

证明了著名的Lomonosov引理的逆命题成立,得到了(?)(X)的一个子代数有 非平凡的不变闭子空间的充要条件.这里(?)(X)表示Banach空间X上的有界线性算 子全体所成的Banach代数.

we prove that the converse proposition of the famous Lomonosov lemma is true and obtain a new necessary and sufficient condition for the existence of a nontrivial closed invariant subspace for a subalgebra (?) of (?)(X) in a Banach space X.