Week of April 23 - 27, 2012
Monday, April 23, 2012
10:30 AM Advisory Committee Meeting 400 MSC
Tuesday, April 24, 2012
2:30 PM Algebra and Topology Seminar 459 MSC
Rieuwert Blok, BGSU
Coxeter Groups V
3:45 PM Faculty Meeting 459 MSC
Karen Weymouth, Senior Account Manager, McGraw-Hill
Higher Education, Science and Mathematics
ALEKS: Math Emporium.
Wednesday, April 25, 2012
1:30 PM Math 1150 Meeting 447 MSC
4:30 PM Analysis Seminar 459 MSC
Swarup Ghosh, BGSU
A Counterexample to the Peak Point Conjecture (Part
III)
In 1957, Andrew Gleason conjectured that for a function
algebra A on X, if every point in X is a peak point for
A, then A = C(X), known as peak point conjecture.
However, in 1968, in his Ph.D. dissertation, Brian Cole
constructed a counterexample to this conjecture. In
this talk, we will discuss Cole's counterexample and
related conjectures.
Thursday, April 26, 2012
11:00 AM Math 1150 Meeting 459 MSC
2:30 PM Putnam Team Meeting 445 MSC
Friday, April 27, 2012
3:30 PM Refreshments 459 MSC
3:45 PM Colloquium 459 MSC
Ozgur Martin, Miami University, OH
Weighted Shifts and Disjoint Hypercyclicity
A linear continuous operator T on a topological vector
space X is hypercyclic if there exists a vector f in X
such that the orbit {T^n(f): n > 0} is dense in X. The
first example of a hypercyclic operator on a Banach
space was given in 1969 by S. Rolewicz, who showed that
if B is the backward shift on the space of square
summable sequences, then zB is hypercyclic if and only
if |z| > 1. A natural generalization of these operators
are the weighted backward shifts. In 1995, H. Salas
characterized the hypercyclic weighted backward shifts
completely in terms of their weight sequences.
The aim of this talk is to extend the characterization
of Salas to the setting of disjointness introduced by
Bernal and, independently, by J. Bes and A. Peris. It
turns out that some well known results about a single
hypercyclic operator fail to hold true for disjoint
hypercyclic operators.
This is a joint work with J. Bes and R. Sanders.
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