Jing Xu

collaborators

3 papers

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.FA2019

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…

The Cowen-Douglas Theory for Operator Tuples and Similarity

A subclass of the Cowen-Douglas class and similarity

N-hypercontractivity and similarity of Cowen-Douglas operators

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