Some multiplicative preservers on $BH)$
算子代数
2016-09-07 v1 泛函分析
摘要
In this paper we describe the form of those continuous multiplicative maps on B(H) (H being a separable complex Hilbert space of dimension not less than 3) which preserve the rank, or the corank. Furthermore, we characterize those continuous *-semigroup endomorphisms of B(H) which are spectrum non-increasing.
引用
@article{arxiv.math/9909048,
title = {Some multiplicative preservers on $BH)$},
author = {Lajos Molnar},
journal= {arXiv preprint arXiv:math/9909048},
year = {2016}
}
备注
13 pages. To appear in Linear Algebra Appl