3 papers
math.CV2026
The right invariant metric on the analytic automorphism group of the unit open disk induced by maximal modulus
Yue Xin, Yan Li, Bingzhe Hou
In this paper, we study the right invariant metric on the analytic automorphism group of the unit open disk induced by maximal…
math.FA2025
The invariant subspace problem and Rosenblum operators I
Junsheng Fang, Bingzhe Hou, Chunlan Jiang +1
Let be an invertible operator. From the 1940's, Gelfand, Hille and Wermer investigated the invariant subspaces of by analyzing the growth of , wh…
math.FA2025
The Jordan decomposition and Kaplansky's second test problem for Hermitian holomorphic vector bundles
Bingzhe Hou, Chunlan Jiang
In 1954, I. Kaplansky proposed three test problems for deciding the strength of structural understanding of a class of mathematical objects in his treatise "Infinite abelian groups…