报告题目 (Title)：局部化无限矩阵的弗雷德霍姆理论
报告人 (Speaker)：房启全 教授（浙江科技大学）
报告时间 (Time)：2025年12月9日（周二）19:30
报告地点 (Place)：校本部F309会议室
邀请人(Inviter)：赵发友
主办部门：理学院数学系
报告摘要：In this talk, we construct a Banach algebra of infinite matrices designed to model mobile networks. We show that every element within this algebra acts as a compact operator on a family of standard sequence spaces. To study questions of inversion governed by the norm and numerical stability, we then define a unital Banach algebra based on this construction. We prove that this algebra admits norm-controlled inversion, where the controlling function is a simple polynomial. Furthermore, we establish a key stability result: if an element in this algebra is stable on one of the sequence spaces, it is automatically stable on all of them. We also provide explicit bounds for this stability. This is based on the joint papers with Professor Qiyu Sun (UCF), Professor Shin (Sogang University) and Professor Tao (zust).
