Property(ω)and the Single-valued Extension Property

• 作者: Lei DAI Xiao Hong CAO Qi GUO
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2021,（8）
• 页码范围: 1254-1266
• 页数: 13页
• 语种: 英文

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.