Jing Xu

activity

20182025

most citedA subclass of the Cowen-Douglas class and similarity

2 citations · 2 across the 10 of their papers we have counts for

collaborators

10 papers

math.FA2025

On the quasi-similarity of operators with flag structure

Xie yufang, Ji shanshan, Xu jing +1

Let $A$ denote the operator class in which every nonzero intertwiner between two operators in $A$ has dense range. Utilizing the operators in $A$ as a…

math.FA2025

Cyclicity of Cowen-Douglas tuples

Jing Xu, Shanshan Ji, Yufang Xie +1

The study of Cowen-Douglas operators involves not only operator-theoretic tools but also complex geometry on holomorphic vector bundles. By leveraging the properties of holomorphic…

math.FA2024

$K_{0}$ -groups and strongly irreducible decompositions of operator tuples

Jing Xu

An operator tuple $T = (T_{1}, \dots, T_{n})$ is called strongly irreducible (SI), if the joint commutant of $T$ does not any nontrivial idempotent operator. In this…

math.FA2024

On the metric of the jet bundle and similarity of Cowen-Douglas operators

Kui Ji, Shanshan Ji, Hyun-Kyoung Kwon +1

The study of Cowen-Douglas operators not only involves traditional operator-theoretic tools but also concepts and results from complex geometry on holomorphic vector bundles. We ma…

math.FA2022

The Cowen-Douglas Theory for Operator Tuples and Similarity

Kui Ji, Shanshan Ji, Hyun-Kyoung Kwon +1

We are concerned with the similarity problem for Cowen-Douglas operator tuples. The unitary equivalence counterpart was already investigated in the 1970's and geometric concepts in…

math.FA2022

On the $N$ -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.FA2020

On the similarity of restriction of the operator to an invariant subspace

Kui Ji, Shanshan Ji, Dinesh Kumar Keshari +1

Let $M_{z}$ be the multiplication operator on the Bergman space and $M_{I}$ denote the restriction of $M_{z}$ to an invariant subspace $I$ . A question raised by K. Zhu is that when…

math.FA2019★ 2 cited

A subclass of the Cowen-Douglas class and similarity

Kui Ji, Hyun-Kyoung Kwon, Jaydeb Sarkar +1

We consider a subclass of the Cowen-Douglas class in which the problem of deciding whether two operators are similar becomes more manageable. A similarity criterion for Cowen-Dougl…

math.FA2019

$N$ -hypercontractivity and similarity of Cowen-Douglas operators

Kui Ji, Hyun-Kyoung Kwon, Jing Xu

When the backward shift operator on a weighted space $H_{w}^{2} = {f = \sum_{j = 0}^{\infty} a_{j} z^{j} : \sum_{j = 0}^{\infty} ∣ a_{j} ∣^{2} w_{j} < \infty}$ is an $n$ -hypercontraction, we prove that t…

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…