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math.FA2026
Complex Representatives, Similarity Invariants, and Iterates in
Bingzhe Hou, Cailing Yao, Jiaxing He
We study the similarity classes of matrices in and the iterates of their associated quaternionic Möbius transformations. Building on the known elliptic case, we…
math.FA2025
Cowen-Douglas operators on quaternionic Hilbert spaces
Xiaoqi Feng, Bingzhe Hou, Kui Ji
In 1978, M. J. Cowen and R. G. Douglas introduced a class of geometric operators (known as Cowen-Douglas class of operators) and associated a Hermitian holomorphic vector bundle to…