$C^{*}$ algebra and inverse chaos
Functional Analysis
2015-04-07 v3
Abstract
If an invertible linear dynamical systems is Li-York chaotic or other chaotic, what's about it's inverse dynamics? what's about it's adjoint dynamics? With this unresolved but basic problems, this paper will give a criterion for Lebesgue operator on separable Hilbert space. Also we give a criterion for the adjoint multiplier of Cowen-Douglas functions on -th Hardy space. Last we give some chaos about scalars perturbation of operator and some examples of invertible bounded linear operator such that is chaotic but is not.
Cite
@article{arxiv.1503.06750,
title = {$C^{*}$ algebra and inverse chaos},
author = {Luo Lvlin and Hou Bingzhe},
journal= {arXiv preprint arXiv:1503.06750},
year = {2015}
}