酉算子连续函数的 Fejér 逼近
泛函分析
2014-03-11 v1
摘要
本文关注希尔伯特空间中西尔伯特空间酉算子谱理论的某个方面，旨在给出酉算子连续函数的显式构造。从给定的酉算子出发，我们提供了一族三角多项式序列，这些序列弱收敛于复测度，从而使我们能够定义该算子的函数。
引用
@article{arxiv.1403.1979,
title = {Fejer's approximation of continuous functions of unitary operators},
author = {Krzysztof Zajkowski},
journal= {arXiv preprint arXiv:1403.1979},
year = {2014}
}
备注
In this paper there is a proof, on an approximating character, of the spectral theorem for unitary operators. It was published in Commentationes Mathematicae XLII (2)(2002)