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math.FA2022
On the -hypercontractions and similarity of multivariable weighted shifts
Yingli Hou, Shanshan Ji, Jing Xu
In \cite{SH}, A. L. Shields proved a well-known theorem for the similarity of unilateral weighted shift operators. By using the generalization of this theorem for multivariable wei…
math.FA2018
Geometry of holomorphic vector bundles and similarity of commuting operator tuples
Yingli Hou, Kui Ji, Shanshan Ji +1
In this paper, a new criterion for the similarity of commuting tuples of operators on Hilbert spaces is introduced. As an application, we obtain a geometric similarity invariant of…