Synopsis and Organizers

The Invariant Subspace Problem is the most well-known unsolved problem in Operator Theory. For normal operators, the spectral decomposition theorem completely describes the structure of their invariant subspaces. For non-normal operators, a fundamental example is the unilateral shift operator S on a Hilbert space. In 1949, Beurling gave a complete description of its invariant using analytic function theory in the setting of classical Hardy space H2(D): a closed subspace M⊂H2(D) is invariant for S if and only if M = θH2(D) for some inner function θ. This settlement relies on additional structures of analytic function space: multiplication, boundedness and boundary values of analytic functions. These structures are not available in general Hilbert spaces. Beurling’s theorem not only suggested a good approach to Invariant Subspace Problem but also became a foundation for many other developments in Operator Theory.

A great amount of work has been done to search for generalizations of Beurling’s idea. Now the theory has grown much beyond the scope of invariant subspace problem. This workshop aims to bring together experts to report and exchange ideas on recent developments.

Organizers

Name	University
Ronald Douglas	Texas A&M, USA
Kunyu Guo	Fudan University, China
Gadadhar Misra	Indian Institute of Science
Rongwei Yang	SUNY at Albany, USA

Participants

Type	English   Name	Chinese Name	Gender	Employer's Name   in English	Employer's Name in Chinese
Organizer & Speaker	Ronald   G. Douglas		Male	Texas   A&M, USA	美国德克萨斯农工大学
Organizer & Speaker	Kunyu   Guo	郭坤宇	Male	Fudan   University, China	复旦大学
Organizer & Speaker	Gadadhar   Misra		Male	Indian   Institute of Science, Bangalore	印度科技大学
Organizer	Rongwei   Yang	杨容伟	Male	State   University of New York at Albany, USA	美国纽约州立大学阿尔巴尼分校
Speaker	Fatemeh   Azarikey		Female	Dalian   University of Technology, China	大连理工大学
Speaker	Shibananda   Biswas		Male	Indian   Institute of Science Education Research, Kolkata	印度科学教育研究所
Speaker	Sameer   Chavan		Male	Indian   Institute of  Technology,　Kanpur	印度理工学院
Participant	Yongjiang   Duan	段永江	Male	Northeast   Normal University, China	东北师范大学
Speaker	Miroslav   Englis		Male	Department   of Mathematics, Silesian University, Czech Republic	捷克西里西亚大学
Speaker	Quanlei   Fang	方全蕾	Female	Bronx   Community College, New York, USA	美国布朗克斯社区学院
Speaker	Xiang   Fang	方向	Male	National Central   University, Taiwan	台湾国立中央大学
Speaker	Soumitra   Ghara		Male	Indian   Institute of  Science, Bangalore	印度科学研究所
Participant	Rajeev   Gupta		Male	Indian   Institute of  Technology, Kapur	印度理工学院
Speaker	Somnath   Hazra		Male	Indian   Institute of  Science, Bangalore, India	印度科学研究所
Participant	Wei   He	何薇	Female	Southeast   University, China	东南大学
Participant	Jaeseong   Heo		Male	Hanyang   University, South Korea	韩国汉阳大学
Participant	Shengzhao   Hou	候绳照	Male	Suzhou   University, China	苏州大学
Participant	Junyun   Hu	胡俊云	Male	Jiaxing University,   China	嘉兴学院
Speaker	Hansong   Huang	黄寒松	Male	East   China University of Science and Technology, China	华东理工大学
Speaker	Keiji   Izuchi		Male	Department   of Mathematics, Niigata University, Japan	日本新潟大学
Speaker	Kouhei   Izuchi			Departmet   of Mathematics, Yamaguchi University, Japan	日本山口大学
Participant	Kui   Ji	纪奎	Male	Hebei   Normal University, China	河北师范大学
Speaker	Laszlo   Kerchy		Male	Bolyai   Institute, University of Szeged, Hungary	匈牙利赛格德大学
Speaker	Dinesh   Kumar Keshari		Male	Indian Statistical   Institute, Bangalore	印度统计研究所
Speaker	Surjit   Kumar		Male	Indian   Institute of  Science, Bangalore	印度科学研究所
Participant	Hyun-Kyoung   Kwon		Female	Department   of Mathematics, University of Alabama, USA	美国阿拉巴马大学
Speaker	Wing-Suet   Li		Female	Department   of Mathematics, Georgia Institute of Technology,  USA	美国佐治亚理工学院
Speaker	Conni   Liaw (Constanze Dong-Li Liaw)		Female	Department   of Mathematics, Baylor University, USA	美国贝勒大学
Participant	Shuaibing   Luo	罗率兵	Male	Hunan   University, China	湖南大学
Participant	Avijit   Pal		Male	Indian   Institute of Science Education Research, Kolkata	印度科学教育研究所
Speaker	Marek   Ptak		Male	Department   of Mathematics, Uniwersytet Rolniczy, Krakow, Poland	波兰克拉科夫农业大学
Speaker	Yueshi   Qin	秦越石	Female	Chongqing   University, China	重庆大学
Speaker	Mohammed   Ramiz Reza		Male	Indian   Institute of Science, Bangalore	印度科学研究所
Speaker	Jaydeb   Sarkar		Male	Indian   Statistical Institute, Bangalore	印度统计研究所
Speaker	Shailesh   Trivedi		Male	Harish-Chandra   Research Institute     Allahabad, India	印度钱德拉研究所
Speaker	Harald   Ernst Otto Upmeier		Male	University   of Marburg, Germany	德国马堡大学
Participant	Cherian   Varughese		Male	Renaissance   Communications, Bangalore, Indian (Renaissance Communications Pvt. Ltd.)	印度班加罗尔文艺复兴传播？
Participant	Xiaofeng   Wang	王晓峰	Male	Guangzhou   University, China	广州大学
Speaker	Penghui   Wang	王鹏辉	Male	Shandong University, China	山东大学
Participant	Kai   Wang	王凯	Male	Fudan   University, China	复旦大学
Participant	Junde   Wu	武俊德	Male	Zhejiang   University, China	浙江大学
Speaker	Yue   Wu	吴越	Male	Central   University of Finance and Economics, China	中央财经大学
Speaker	Jingbo   Xia	夏经博	Male	Department   of Mathematics, SUNY at Buffalo, NY, USA	美国纽约州立大学布法罗分校
Participant	Xianmin   Xu	徐宪民	Male	Jiaxing University,   China	嘉兴学院
Speaker	Yixin   Yang	杨义新	Male	Dalian   University of Technology, China	大连理工大学
Participant	Jiayang   Yu	余佳洋	Male	Sichuan   University, China	四川大学
Speaker	Dechao   Zheng	郑德超	Male	Department   of Mathematics, Vanderbilt University, USA	美国范德堡大学
Participant	Kehe   Zhu	朱克和	Male	Department   of Math. and Stat., SUNY at Albany, NY, USA	美国纽约州立大学阿尔巴尼分校
Participant	Pan   Ma	马攀	Male	Chongqing   University, China	重庆大学
Participant	Yuanqi   Sang	桑元奇	Male	Chongqing   University, China	重庆大学
Participant	Chongchao   Wang	王崇潮	Male	Chongqing   University, China	重庆大学
Participant	Fugang   Yan	宴福刚	Male	Chongqing   University, China	重庆大学
Participant	Ziliang   Zhang		Male	Vanderbilt   University, USA	美国范德比尔特大学

 

Schedule

Group Photo

Hilbert Modules in Analytic Function Spaces Workshop.jpg

Hilbert Modules in Analytic Function Spaces.jpg

Last Announcement

Last Announcement.pdf

Titles and Abstracts

Titles and Abstracts_HMAFS.pdf