本文研究了正则cosine算子函数的乘积扰动性,在正则化算子C的值域不 一定稠密的一般情形下,获得了若干正则cosine算子函数的乘积扰动定理.

In this paper, we investigate multiplicative perturbation of the regularized cosine operator functions. We obtain some multiplicative perturbation theorems for the regularized cosine operator functions without the density of the range of the regularizing operator C.