指数有界的C余弦算子函数

doi:10.12341/jssms09203

系统科学与数学 ›› 1996, Vol. 16 ›› Issue (3): 242-252.DOI: 10.12341/jssms09203

指数有界的C余弦算子函数

郑权;雷岩松

华中理工大学数学系, 武汉 430074

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:1996-07-25 发布日期:1996-07-25

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郑权;雷岩松. 指数有界的C余弦算子函数[J]. 系统科学与数学, 1996, 16(3): 242-252.

Zheng Quan;Lei Yansong. EXPONENTIALLY BOUNDED C-COSINE FUNCTIONS OF OPERATORS[J]. Journal of Systems Science and Mathematical Sciences, 1996, 16(3): 242-252.

EXPONENTIALLY BOUNDED C-COSINE FUNCTIONS OF OPERATORS

Zheng Quan; Lei Yansong

(1)Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074;(2)Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074

Received:1900-01-01 Revised:1900-01-01 Online:1996-07-25 Published:1996-07-25

本文引入了指数有界的Ｃ余弦算子函数的生成元，讨论了生成元的基本性质，建立了相应的生成定理、逼近定理及扰动定理．最后给出了指数有界的Ｃ余弦算子函数与指数有界的Ｃ半群的基本联系．

关键词： C余弦算子函数, 生成定理, 逼近定理, 扰动定理

in this paper,the concept of the generator of an exponentially bounded Ccosine function is introduced.Basic properties,generation theorems,approximation theorems,and perturbation theorems for exponentially bounded C-cosine functions are given. Finally,the relationship between exponentially bounded C-cosine functions, exponentially bounded Csemigroups,and exponentially bounded intergrated cosine functions are obtained.

Key words: C-cosine function of operators, generation theorem, approximation theorem, perturbation theorem, C-s

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