【摘要】 讨论关于算子组α=(α1,…,αn)B(X)(β)性质的几个问题。主要结果是关于交叉交换算子组ab-z和ba-z在A(U,X)(C∞(U,X))上的单射性和有闭值域是等价的。更多还原

【Abstract】 It has been discussed that several problems about the （β） property of the operator group a= （a₁, ... , a_n）B（X）. The main result is that the tuples of operators ab-z be injective and have closed range is equivalent to the tuples of operators ba-z be injective and have closed range on A（U, X）（C ∞ （U, X））.更多还原