指数有界C余弦算子函数与积分余弦函数的扰动

Perturbation Theorems for Exponentially Bounded C-Cosine Operator Functions and Intergrated Cosine Functions

研究了指数有界C余弦算子函数在C不必具有稠值域时的扰动问题,并根据积分余弦函数与C余弦算子函数的基本关系,进而得到了2n次积分余弦函数带非稠定生成元的扰动结果.

Perturbation for C- cosine operator functions are discussed with operator C whose range may not be dense on a Banach space X. With the relationships to integrated cosine functions, perturbation for 2n- times integrated cosine functions are obtained.