Abstract
A special rank-one perturbation $S_{t,n}$ of a weighted shift on a directed tree is constructed. Partial normality and weak hyponormality (including quasinormality, $p$-hyponormality, $p$-paranormality, absolute-$p$-paranormality and $A(p)$-class) of $S_{t,n}$ are characterized.
Citation
George R. Exner. Il Bong Jung. Eun Young Lee. Minjung Seo. "Rank-one Perturbation of Weighted Shifts on a Directed Tree: Partial Normality and Weak Hyponormality." Osaka J. Math. 55 (3) 439 - 462, July 2018.
