2015/03/23 by Luo Lvlin, Lvlin, Luo, Hou Bingzhe +1
Mathematics · Physics and Astronomy · #37B99 #47A16 #47C10 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #advanced mathematical theories #math.FA #msc:37B99 #msc:47A16 #msc:47C10
paper · pdf · doi:10.48550/arxiv.1503.06750
openalex publication_date 2015/03/23 · arxiv created 2015/04/06 · arxiv updated 2015/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 2-th Hardy space. Last we give some chaos about scalars perturbation of operator and some examples of invertible bounded linear operator such that T is chaotic but T-1 is not.