A Banach space operator satisfies generalized RakoSevi5＇s property （gw） if the complement of its upper semi B-Weyl spectrum in its approximate point spectrum is the set of eigenvalues of T which are isolated in the...A Banach space operator satisfies generalized RakoSevi5＇s property （gw） if the complement of its upper semi B-Weyl spectrum in its approximate point spectrum is the set of eigenvalues of T which are isolated in the spectrum of T. In this note, we characterize hypecyclic and supercyclic operators satisfying the property （gw）.展开更多
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 appli...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.展开更多
文摘A Banach space operator satisfies generalized RakoSevi5＇s property （gw） if the complement of its upper semi B-Weyl spectrum in its approximate point spectrum is the set of eigenvalues of T which are isolated in the spectrum of T. In this note, we characterize hypecyclic and supercyclic operators satisfying the property （gw）.
文摘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.
