Mathematical Sciences: Banach Spaces and Related Topics
{'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 Banach space theory.               Professor Dilworth plans to investigate linear topological                      properties of certain Banach spaces of broad interest in                        analysis.  Some of this work concerns the infinite-dimensional                  subspace structure of the Lebesgue and Lorentz function spaces.                 Probabilistic matters, such as inequalities for sums of                         independent random variables and of martingale difference                       sequences in function spaces, will also be investigated.  Another               research direction has to do with the finite-dimensional                        structure of the Lebesgue spaces with exponent less than unity.
{'FirstName': 'Stephen', 'LastName': 'Dilworth', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Stephen Dilworth', 'EmailAddress': 'dilworth@scarolina.math.edu', 'NSF_ID': '000400348', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of South Carolina at Columbia', 'CityName': 'COLUMBIA', 'ZipCode': '292083403', 'PhoneNumber': '8037777093', 'StreetAddress': '1600 HAMPTON ST', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'South Carolina', 'StateCode': 'SC', 'CONGRESSDISTRICT': '06', 'CONGRESS_DISTRICT_ORG': 'SC06', 'ORG_UEI_NUM': 'J22LNTMEDP73', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF SOUTH CAROLINA', 'ORG_PRNT_UEI_NUM': 'J22LNTMEDP73'}
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{'Code': '1262', 'Text': 'MODERN ANALYSIS'}
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