 
Summary: Mathematics
and
Statistics
GRADUATE SEMINARS
Wednesday February 15th, 10:0012:00
Math & Stats Lounge (CW 307.20)
Tian Zhang
Sushkevich kernels and the
JacobsDeLeeuwGlicksberg splitting theorem
MSc Student supervised by Remus Floricel
Abstract: We show that every compact semitopological semigroup admits a minimal ideal,
referred to as the Sushkevich kernel of the semigroup. This ideal has the structure of a compact
topological group. We use this theorem in the particular case of an abelian relatively weakly
compact semigroup of operators on a Banach space to obtain a natural decomposition of the
space, and of the semigroup which contains two parts: the reversible part and the stable part.
Then we will describe the reversible part in terms of the eigenspace of the semigroup. Further,
we will take a look of the JDG decomposition with respect to the strong operator topology.
Tyler Wood
Endomorphisms of B(H) and Cuntz Algebras
MSc Student supervised by Remus Floricel
