Mathematical Sciences: Problems on the Geometry of Banach   Spaces
{'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.  A Banach space is a (usually) infinite-dimensional                     linear space in which one can take limits in a reasonable way.                  One reason for the historical development of their theory is that               differential equations may be profitably studied from the point                 of view of operators on certain Banach spaces of functions.  Part               of the project is to investigate certain aspects of the non-                    linear geometry of Banach spaces.  This is a very new aspect of                 the theory, which hitherto has concentrated on linear subspaces                 and linear operators.  Another non-linear topic is norm estimates               on products of polynomials, wherein the latter are regarded as                  elements of various natural Banach spaces of functions.  The                    principal investigator will also work on a classical problem for                the Banach space of absolutely integrable functions of a real                   variable.
{'FirstName': 'Per', 'LastName': 'Enflo', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Per Enflo', 'EmailAddress': 'enflo@math.kent.edu', 'NSF_ID': '000442464', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '1262', 'Text': 'MODERN ANALYSIS'}
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