摘要
By the new spectrum originated from the single-valued extension property,we give the necessary and sufficient conditions for a bounded linear operator defined on a Banach space for which property(ω)holds.Meanwhile,the relationship between hypercyclic property(or supercyclic property)and property(ω)is discussed.
基金
Supported by the National Natural Science Foundation of China(Grant No.111501419)
the Doctoral Fund of Shaanxi province of China(Grant No.2017BSHEDZZ108)
the Natural Science Basic Research Plan in Shaanxi Province of China(Grant No.2021JM-519)。
