Mathematical Sciences: Collaboration in Matrix Analysis
{'Code': '03040300', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ann K. Boyle', 'PO_EMAI': None, 'PO_PHON': None}
The research in this proposal is concerned with the theory                 of matrices and operators.  In operator theory  the concern will                be in operator valued functions and the central theme will be                   factorization problems.  Some of the topics are analysis of                     spectral data of various classes of operator functions, synthesis               of an operator function in a given class given its spectral data,               special factorizations of self adjoint operator polynomials,                    correspondence between factorizations of an analytic operator                   function with compact spectrum and invariant subspaces of its                   linearization and local and global equivalence of meromorphic                   operator functions.  In matrix theory the problems will include                 matrix completion problems, spectral distribution in qualitative                matrix theory, infinite dimensional spectral assignment problems,               linear transformations that preserve controllability, a                         generalization of the characteristic polynomial, and analytic                   families of subspaces.  A general goal will be the understanding                of the unifying structure which may support additional problem                  solutions in each area.
[{'FirstName': 'Leiba', 'LastName': 'Rodman', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Leiba Rodman', 'EmailAddress': 'lxrodm@math.wm.edu', 'NSF_ID': '000258031', 'StartDate': '07/15/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'Charles', 'LastName': 'Johnson', 'PI_MID_INIT': 'R', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Charles R Johnson', 'EmailAddress': 'crjohn@wm.edu', 'NSF_ID': '000292208', 'StartDate': '07/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}]
{'Name': 'College of William and Mary', 'CityName': 'WILLIAMSBURG', 'ZipCode': '231852817', 'PhoneNumber': '7572213965', 'StreetAddress': '1314 S MOUNT VERNON AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Virginia', 'StateCode': 'VA', 'CONGRESSDISTRICT': '01', 'CONGRESS_DISTRICT_ORG': 'VA01', 'ORG_UEI_NUM': 'EVWJPCY6AD97', 'ORG_LGL_BUS_NAME': 'COLLEGE OF WILLIAM AND MARY', 'ORG_PRNT_UEI_NUM': None}
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[{'Code': '1262', 'Text': 'MODERN ANALYSIS'}, {'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}]
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8802836.xml'}