该文在圆盘代数A(D)中引入了一个数乘变换,找到了多项式有界算子的多项式演算与Riesz函数演算之间的联系,得到了Banach空间X上的一般多项式有界算子的泛函表示定理.
In this paper, the author introduces a transformation by scalar multiplication of the independent variable in the disc algebra, finds the connection between the Riesz functional calculus of polynomially bounded operators and the polynomial calculus of polynomially bounded operators, and obtains the functional representation theorem for (general) polynomially bounded operators on a Banach space.