Daniel J. Rodríguez Luis
In this talk we show a continuous version of a classical result due to Foias
and Pearcy for the class of quasinilpotent operator acting on a separable, infinite
dimensional complex Hilbert space H. The consequences of such model will be
discussed in the context of C0-semigroups of quasinilpotent operators.
In addition, we provide an extension of Domar’s Theorem in the context of
translation invariant subspaces for the semigroup of right shift operators defined
in weighted L2-spaces. This is based on joint works with Eva A. Gallardo-Gutiérrez (Madrid, Spain) and Jonathan R. Partington (Leeds, UK).
