| 正则余弦算子函数的内插和外插定理 |
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| 引用本文： | 张寄洲.正则余弦算子函数的内插和外插定理[J].数学物理学报(A辑),1997,17(3):294-300. |
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| 作者姓名： | 张寄洲 |
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| 作者单位： | 湖北大学数学系!武汉，430062，武汉大学数学系，武汉，430072 |
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| 摘 要： | 该文研究正则余弦算子函数的内插和外插．证明了线性算子A在Banach空间X中生成一个指数有界的C-正则余弦函数当且仅当存在Banach空间Y和线性算子B使得：［R这里是C在Y中的有界扩张，B在Y中生成一个强连续余弦算子函数且A＝B|x．
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| 关 键 词： | 正则余弦函数 积分余弦函数 内插和外插 |
Interpolation and Extrapolation Theorems of Regularized Cosine Operator Functions |
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| Zhang Jizhou.Interpolation and Extrapolation Theorems of Regularized Cosine Operator Functions[J].Acta Mathematica Scientia,1997,17(3):294-300. |
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| Authors: | Zhang Jizhou |
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| Abstract: | In this paper, we study the interpolation and extrapolation theorems of regularizedcosine operator funcitons. We show that the linear Operator a generates a exponentiallybounded C -regularized cosine function on the Banach space X if and only if there exist a Banachspace Y and a linear operator B such that: where C is a bounded extension of C on Y, B generates a strongly continuous cosine operator funciton and A = B |x |
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| Keywords: | Regularized cosine function Integrated cosine funcitons Interpolation and extrapolation |
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