Date: Monday, February 18, 2013
Location: 3096 East Hall (4:00 PM to 5:00 PM)
Title: Generators for Algebras Dense in L^p spaces
Abstract: For various L^p-spaces (1\leq p<\infty) we investigate the minimum number of complex-valued functions needed to generate an algebra dense in the space. The results depend crucially on the regularity imposed on the generators. For \mu a positive regular Borel measure on a compact metric space there always exists a single bounded measurable function that generates an algebra dense in L^p(\mu). However, the situation is very different when the generators are required to be continuous or smooth. The most interesting case turns out to be that of continuous generators. This is joint work with Bo Li.
Speaker: Alexander Izzo
Institution: Bowling Green State / UM
Event Organizer: Barrett barrett@umich.edu
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