4 papers
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…
Product and complex structures on 3-Bihom-Lie algebras
Juan Li, Ying Hou, Liangyun Chen
In this paper, we first introduce the notion of a product structure on a -Bihom-Lie algebra which is a Nijenhuis operator with some conditions. And we provide that a -Bihom-L…
Cohomology and deformations of module homorphisms
RB Yadav, Liangyun Chen, Yao Ma +1
In this paper, we mainly focus on formal deformation theory of module homomorphisms. We first introduce the cohomology of module homomorphisms and study formal one-parameter deform…
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…