# Jerusalem Mathematics Colloquium

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Thursday, 31st January 2002, 4:00 pm

Mathematics Building, Lecture Hall 2

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Joram Lindenstrauss

(Hebrew University)

New null sets and Frechet differentiability of Lipschitz functions

** Abstract: ** There are two types of differentiability
for Lipschitz functions between infinite dimensional Banach spaces.
For Gateau differentiability of such functions there are satisfatory
general existence theorems. However Gateaux derivatives are only weak
linear approximations of a function. It is much more desirable to
have points of Frechet differentiability. It turns out that it is
very hard to prove existence of such points. One source for the
difficulty is a lack of a proper notion of "almost everywhere".

In
joint work with David Preiss we introduce a new notion of null sets
which enables existence results to be proved for points of Frechet
differentiability in some cases.

Coffee, Cookies at the faculty lounge at 3:30.

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