Colloquium Schedule for Fall 1998 |
Determination of measures by their values on balls
Professor Tamas Keleti
Michigan State University
In this talk I will discuss some results concerning thefollowing question and its variations:
Is it true that if two Borel measures agree on all balls then they agree?
I will also present the following recent result (together withits finite dimensional version and other connected results) andits connection with the above question:
In a separable infinite dimensional Hilbert space not all Borel sets can be generated by balls using complements and countable disjoint unions.
(See also papers 2 and 3 on my home page: www.math.msu.edu/~keleti.)