Diskcyclicity of Sets of Operators and Applications  

作　　者：Mohamed AMOUCH Otmane BENCHIHEB 

机构地区：[1]University Chouaib Doukkali,Department of Mathematics,Faculty of science Eljadida,Morocco

出　　处：《Acta Mathematica Sinica,English Series》2020年第11期1203-1220,共18页数学学报（英文版）

摘　　要：In this paper,we introduce and study the diskcyclicity and disk transitivity of a set of operators.We establish a diskcyclicity criterion and give the relationship between this criterion and the diskcyclicity.As applications,we study the diskcyclicty of Co-semigroups and C-regularized groups.We show that a diskcyclic Co-semigroup exists on a complex topological vector space X if and only if dim(X)=1 or dim(X)=∞and we prove that diskcyclicity and disk transitivity of C0-semigroups(resp C-regularized groups)are equivalent.

关 键 词：HYPERCYCLICITY supercyclicity diskcyclicity C0-semigroups of operators C-regularizedgroups of operators 

分 类 号：O19[理学—数学]