Hermitian and Positive Integrated C-cosine Functions on Banach Spaces

被引：0
|
作者：
Yuan-Chuan Li
Sen-Yen Shaw
机构：
[1] National Central University,Department of Mathematics
来源：
Positivity | 1998年 / 2卷
关键词：
-times integrated ; -cosine function; hermitian ; -cosine function; positive ; -cosine function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Peculiar properties of hermitian and positive n-times integrated C-cosine functions on Banach spaces are investigated. Among them are: (1) Any nondegenerate positiven -times integrated C-cosine function is infinitely differentiable in operator norm; (2) An exponentially bounded, nondegenerateC -cosine function on Lp(μ) (1<p<∞) (orL1(μ), C0 , in case C has dense range) is positive if and only if its generator is bounded, positive, and commutes with C.
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页码：281 / 299
页数：18
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