5 papers
The -conjugation of quaternionic matrices and generalized Autonne-Takagi factorization
Cailing Yao, Bingzhe Hou, Yue Xin
Let be a quaternion of modulus . In this article, we study some topics related to -conjugation for quaternionic matrices, including -Hermitian matrices, -conjugate…
Persistence modules induced by inner functions
Jiaxing He, Bingzhe Hou, Xiao Wang +1
As well-known, inner functions play an important role in the study of bounded analytic function theory. In recent years, persistence module theory, as a main tool applied to Topolo…
Topologically conjugate classification of diagonal operators
Yue Xin, Bingzhe Hou
Let , , be the Banach space of absolutely -th power summable sequences and let be the natural projection to the -th coordinate for $n\in\mat…
Mix-GENEO: A Flexible Filtration for Multiparameter Persistent Homology Detects Digital Images
Jiaxing He, Bingzhe Hou, Tieru Wu +1
Two important tasks in the field of Topological Data Analysis are building practical multifiltrations on objects and using TDA to detect the geometry. Motivated by the tasks, we bu…
Some invariants of and diagonalization
Cailing Yao, Bingzhe Hou, Xiaoqi Feng
Denote by the set of all quaternions. We are interested in the group , which is a subgroup of quaternionic matrix group and is sometimes…