局部凸空间上单参数半群的 Desch-Schappacher 型扰动
泛函分析
2015-09-18 v2
摘要
我们证明了一个 Desch-Schappacher 型扰动定理,该定理适用于定义在序列完备局部凸空间上的强连续且局部等连续的单参数半群。
引用
@article{arxiv.1409.8058,
title = {Desch-Schappacher Perturbation of One-Parameter Semigroups on Locally Convex Spaces},
author = {Birgit Jacob and Sven-Ake Wegner and Jens Wintermayr},
journal= {arXiv preprint arXiv:1409.8058},
year = {2015}
}
备注
10 pages, revised argument in section 2, results unchanged (proof of Theorem 1, the closedness of operator C)