Mathematical Sciences: Problems in Operator Theory and      Nonselfadjoint Operator Algebras
{'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 for mathematical research in operator                      theory.  The original impetus for this theory came from a                       fundamental insight in quantum mechanics, namely that physical                  quantities normally regarded as scalars are better represented by               thinking of them as operators on Hilbert space, where they can                  interact in a more interesting fashion.  The analysis of                        operators and how they transform the underlying space has since                 acquired a distinguished existence of its own, apart from                       physics.                                                                             More specifically, Professor Bercovici will study a new                    class of nonselfadjoint operator algebras called dual algebras,                 with an emphasis on the existence and classification of invariant               subspaces.  He will enrich the perturbation theory of n-tuples of               selfadjoint operators, and will also investigate skew Toeplitz                  operators.  The latter study impinges significantly on control                  theory issues in engineering.
{'FirstName': 'Hari', 'LastName': 'Bercovici', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Hari Bercovici', 'EmailAddress': 'h.bercovici@gmail.com', 'NSF_ID': '000149341', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Indiana University', 'CityName': 'BLOOMINGTON', 'ZipCode': '474057000', 'PhoneNumber': '3172783473', 'StreetAddress': '107 S INDIANA AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Indiana', 'StateCode': 'IN', 'CONGRESSDISTRICT': '09', 'CONGRESS_DISTRICT_ORG': 'IN09', 'ORG_UEI_NUM': 'YH86RTW2YVJ4', 'ORG_LGL_BUS_NAME': 'TRUSTEES OF INDIANA UNIVERSITY', 'ORG_PRNT_UEI_NUM': 'YH86RTW2YVJ4'}
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{'Code': '1262', 'Text': 'MODERN ANALYSIS'}
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