2010/05/09 by Manuel De la Rosa, Leonhard Frerick, De la Rosa, Manuel +5
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.1005.1416
openalex publication_date 2010/05/09 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28
We prove that if X is any complex separable infinite-dimensional Banach space\nwith an unconditional Schauder decomposition, X supports an operator T which is\nchaotic and frequently hypercyclic. In contrast with the complex case, we\nobserve that there are real Banach spaces with an unconditional basis which\nsupport no chaotic operator.\n