C. Gillmore (Helsinki)

will speak on

Hypercyclicity of Derivations

Time: 3:00PM
Date: Tue 27th September 2016
Location: [map]

Abstract: Linear dynamics has been a rapidly evolving area of operator theory since the late 1980s. I will begin by recalling some basic examples and the pertinent notions of hypercyclicity in order to discuss the dynamics of bounded linear operators in the infinite-dimensional setting. The primary goal is to examine the hypercyclicity of generalised derivations $S mapsto AS-SB$, for fixed operators $A,B$, on spaces of operators. Hitherto the principle result in this setting has been the characterisation of the hypercyclicity of the left and right multipliers. The main example I will show is the existence of non-trivial hypercyclic generalised derivations on separable ideals of operators

(This talk is part of the Analysis series.)

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