Choosing roots of polynomials smoothly
经典分析与常微分方程
2007-05-23 v1 泛函分析
谱理论
摘要
We clarify the question whether for a smooth curve of polynomials one can choose the roots smoothly and related questions. Applications to perturbation theory of operators are given.
引用
@article{arxiv.math/9801026,
title = {Choosing roots of polynomials smoothly},
author = {Dmitri Alekseevsky and Andreas Kriegl and Mark Losik and Peter W. Michor},
journal= {arXiv preprint arXiv:math/9801026},
year = {2007}
}
备注
to appear Israel J. Math