2017-05-22 ~ 2017-05-26 1453
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 |
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 |
Hilbert Modules in Analytic Function Spaces Workshop.jpg
Hilbert Modules in Analytic Function Spaces.jpg