2012/05/16 by Romuald Ernst, Ernst, Romuald
Mathematics · #Analytic and geometric function theory #Approximation Theory and Sequence Spaces #Holomorphic and Operator Theory #math.FA
paper · pdf · doi:10.48550/arxiv.1205.3574
arxiv created 2014/01/06 · arxiv updated 2014/01/07
In this paper, we are interested in the properties of a new class of operators, recently introduced by Shkarin, called strongly n-supercyclic operators. This notion is stronger than n-supercyclicity. We prove that such operators have interesting spectral properties and give examples and counter-examples answering some natural questions asked by Shkarin.