Mathematical Sciences: Problems in Operator Theory
{'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}
This project is mathematical research in operator theory, a                subject that generalizes to infinite dimensions the basic ideas                 of linear algebra.  The growth of this subject was stimulated by,               and has applications to, the study of integral and differential                 equations, quantum mechanics, and control theory.                                    Many of the specific objectives concern reflexive operator                 algebras, that is, the algebras of operators that are determined                by their invariant subspaces.  An infinite-dimensional analogue                 of triangular form for matrices will be explored.  Additional                   topics for research include operator-theoretic generalizations of               the Stone - Weierstrass theorem, invariant operator ranges, weak                resolvents, and positive maps of C*-algebras.
[{'FirstName': 'Eric', 'LastName': 'Nordgren', 'PI_MID_INIT': 'A', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Eric A Nordgren', 'EmailAddress': None, 'NSF_ID': '000186816', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}, {'FirstName': 'Donald', 'LastName': 'Hadwin', 'PI_MID_INIT': 'W', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Donald W Hadwin', 'EmailAddress': 'don@math.unh.edu', 'NSF_ID': '000324735', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}]
{'Name': 'University of New Hampshire', 'CityName': 'DURHAM', 'ZipCode': '038242620', 'PhoneNumber': '6038622172', 'StreetAddress': '51 COLLEGE RD', 'StreetAddress2': 'BLDG 107', 'CountryName': 'United States', 'StateName': 'New Hampshire', 'StateCode': 'NH', 'CONGRESSDISTRICT': '01', 'CONGRESS_DISTRICT_ORG': 'NH01', 'ORG_UEI_NUM': 'GBNGC495XA67', 'ORG_LGL_BUS_NAME': 'UNIVERSITY SYSTEM OF NEW HAMPSHIRE', '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': '8801815.xml'}