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Title
Weyl number methods for the investigation of spectral asymptotics of matrix and integral operators

Abstract
We give an overview of methods for the determination of the asymptotic behavior of the eigenvalue sequence of bounded linear operators in Banach spaces. Particular emphasis will be put on estimates of eigenvalues via Weyl numbers in contrast to the more often used entropy numbers. While the study of the asymptotic behavior of eigenvalue sequences is by now a classical field of research with many applications, it is still a very active area. We demonstrate this by deriving new results for the spectral asymptotics of certain weakly singular integral operators on fractal sets which complements and extends the recent study of M. Zähle on Riesz potentials and Liouville operators on fractal sets.

Speaker(s)
Aicke Hinrichs (Fac. Mathematics and Computer Science, Univ. Jena, Germany)

Date
May 26, 2006

Time
14.30

Room
5.5

 
     
 

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