Lomonosov's Invariant Subspace Theorem for Multivalued Linear Operators
泛函分析
2007-05-23 v1 一般拓扑
算子代数
摘要
The famous Lomonosov's invariant subspace theorem states that if a continuous linear operator T on an infinite-dimensional normed space E "commutes" with a compact nonzero operator K, i.e., TK=KT, then T has a non-trivial closed invariant subspace. We generalize this theorem for multivalued linear operators.
引用
@article{arxiv.math/0008214,
title = {Lomonosov's Invariant Subspace Theorem for Multivalued Linear Operators},
author = {Peter Saveliev},
journal= {arXiv preprint arXiv:math/0008214},
year = {2007}
}
备注
10 pages