Commutative Radical Banach Algebras
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One fairly concrete setting for the mathematical research                  to be undertaken in this project is that of power series, which                 may be thought of as polynomials of infinite degree. Placing                    an appropriate constraint on the growth (or decay) of the                       coefficients of such a series gives rise to a Banach algebra                    of power series. It may happen that the only way to evaluate                    all of the series in the algebra is by taking the constant                      term. In this case, one has a (commutative) radical Banach                      algebra, a very exotic object. Recently, the principal                          investigator has proved an important result concerning                          derivations (analogues of the derivative in elementary calculus)                of Banach algebras like these, thereby solving                                  a problem that had been open for over thirty years. The                         techniques he developed will be extended and used to explore                    other structural questions.
{'FirstName': 'Marc', 'LastName': 'Thomas', 'PI_MID_INIT': 'P', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Marc P Thomas', 'EmailAddress': 'marc@cs.csubak.edu', 'NSF_ID': '000439746', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '126200', 'Text': 'MODERN ANALYSIS'}
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