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On the interplay of functional analysis and operator theory (Puig de Dios, UCR)

April 3 @ 4:15 pm - 5:15 pm

Abstract: We overview some basic and striking facts concerning the theory of hypercyclic operators (considered to be born in 1982):

1. Hypercyclicity is a purely infinite-dimensional phenomenon: no finite dimensional space supports any hypercyclic operator;
2. It is not easy at all to determine whether a linear operator is hypercyclic. However, the set of hypercyclic operators is dense for the Strong Operator Topology in the algebra of linear and bounded operators;
3. Hypercyclicity is far from being an exotic phenomenon: any infinite-dimensional separable Frechet space supports a hypercyclic operator.

Details

Date:
April 3
Time:
4:15 pm - 5:15 pm
Event Category:

Venue

Shanahan B460, Harvey Mudd College
301 Platt Blvd.
Claremont, CA 91711 United States
+ Google Map

Details

Date:
April 3
Time:
4:15 pm - 5:15 pm
Event Category:

Venue

Shanahan B460, Harvey Mudd College
301 Platt Blvd.
Claremont, CA 91711 United States
+ Google Map