Mathematical Sciences: Projects in Modern Analysis
{'Code': '03040103', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'William Y. Velez', 'PO_EMAI': None, 'PO_PHON': None}
The four investigators will pursue a variety of problems                   having to do with operators and algebras of operators on Hilbert                space.  One area of research is multiparameter operator theory,                 in which such notions as spectrum are considered in joint fashion               for tuples of operators rather than for single operators.                       Another line of investigation concerns differentiable structure                 on operator algebras, including the study of unbounded                          derivations and of Lie group actions.  Recently discovered                      connections between knot theory and the theory of operator                      algebras will be explored.                                                           The setting of Hilbert space and the linear operators that                 transform it is fundamental for representing many of the                        structures and phenomena encountered in mathematics.  Basic                     features of this setting are infinite-dimensionality, in other                  words infinitely many degrees of freedom, and noncommutativity,                 in other words the result of a sequence of operations depends on                the order in which the operations are performed.  The overall aim               of the research in this project is to extend still further the                  powerful strategy of representing things by operators.
[{'FirstName': 'Raul', 'LastName': 'Curto', 'PI_MID_INIT': 'E', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Raul E Curto', 'EmailAddress': 'raul-curto@uiowa.edu', 'NSF_ID': '000182506', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'Paul', 'LastName': 'Muhly', 'PI_MID_INIT': 'S', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Paul S Muhly', 'EmailAddress': 'pmuhly@math.uiowa.edu', 'NSF_ID': '000390016', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}, {'FirstName': 'Palle', 'LastName': 'Jorgensen', 'PI_MID_INIT': 'E', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Palle E Jorgensen', 'EmailAddress': 'palle-jorgensen@uiowa.edu', 'NSF_ID': '000214888', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'Frederick', 'LastName': 'Goodman', 'PI_MID_INIT': 'M', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Frederick M Goodman', 'EmailAddress': 'goodman@math.uiowa.edu', 'NSF_ID': '000397285', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}]
{'Name': 'University of Iowa', 'CityName': 'IOWA CITY', 'ZipCode': '522421316', 'PhoneNumber': '3193352123', 'StreetAddress': '105 JESSUP HALL', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Iowa', 'StateCode': 'IA', 'CONGRESSDISTRICT': '01', 'CONGRESS_DISTRICT_ORG': 'IA01', 'ORG_UEI_NUM': 'Z1H9VJS8NG16', 'ORG_LGL_BUS_NAME': 'THE UNIVERSITY OF IOWA', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1262', 'Text': 'MODERN ANALYSIS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8801329.xml'}