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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 -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…