Gaps of operators via rank-one perturbations

作者：Exner George R; Jung Il Bong^*; Lee Eun Young; Lee Mi Ryeong

来源：Journal of Mathematical Analysis and Applications, 2011, 376(2): 576-587.

DOI：10.1016/j.jmaa.2010.11.026

• Rank-one perturbation
• p-Hyponormal operators
• Absolute-p-paranormal operators
• p-Paranormal operators

In this note we consider rank-one perturbations of weighted shifts to examine distinctions between various sorts of weak hyponormalities, including p-hyponormality, p-paranormality, and absolute-p-paranormality. Our examples enable us to add to the small collection of examples that exhibit the gaps between these classes.

• 出版日期2011-4-15