Hilbert Modules in Analytic Function Spaces workshop May22-26, 2017

2017-05-22 ~ 2017-05-26 1397

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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

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Group Photo

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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