TY - JOUR T1 - Advance in Operator Theory and Jiang's Seven Questions AU - Jiang , Chunlan AU - Cao , Yang JO - Communications in Mathematical Research VL - 2 SP - 287 EP - 295 PY - 2023 DA - 2023/04 SN - 39 DO - http://doi.org/10.4208/cmr.2022-0031 UR - https://global-sci.org/intro/article_detail/cmr/21548.html KW - BIR operator, geometric operator, Halmos’ third question. AB -

In this paper we review the seven questions posed by Professor Jiang Zejian and summarize the progress of them. Moreover, we introduce those applications of tools developed in studying Jiang's questions, especially in dealing with the Halmos' third problem.