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Extension of Hilbert space maps and the Moving Lemma. 

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Philip Huling, SLU

What
  • Analysis Seminar
When Tue, Oct 16, 2007
from 02:10 PM to 03:00 PM
Where RH 102
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There are many extension theorems in mathematics: Tietze Extension, Whitney's Extension, and Hahn-Banach just to name a few. I will show that it is a surprisingly easy task to extend uniformly continuous functions between two Hilbert spaces. I will focus mainly on the Lipschitz case and show how the extension question is tied directly to the geometry of the closed balls in the space. A short discussion about the geometries of non-Hilbert spaces that do and do not give the conditions will also be given.

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