中文

算子函数的可逆性与超不变子空间的存在性

泛函分析 2019-12-17 v2

摘要

TT 为绝对连续多项式有界算子,θ\theta 为奇异内函数。我们证明若 θ(T)\theta(T) 可逆且满足一些附加条件,则 TT 具有非平凡的超不变子空间。

关键词

引用

@article{arxiv.1812.03517,
  title  = {Invertibility of functions of operators and existence of hyperinvariant subspaces},
  author = {Maria F. Gamal'},
  journal= {arXiv preprint arXiv:1812.03517},
  year   = {2019}
}

备注

Many inaccuracies and misprints are corrected by the referee