%0 Journal Article
%A Gallardo Gutiérrez, Eva Antonia
%A Partington, Jonathan R.
%A Rodriguez, Daniel J.
%T A continuous model for quasinilpotent operators.
%D 2016
%@ 0025-5874
%U https://hdl.handle.net/20.500.14352/24545
%X A classical result due to Foias and Pearcy establishes a discrete model for every quasinilpotent operator acting on a separable, infinite-dimensional complex Hilbert space  HH . More precisely, given a quasinilpotent operator T on  HH , there exists a compact quasinilpotent operator K in  HH  such that T is similar to a part of K⊕K⊕⋯⊕K⊕⋯K⊕K⊕⋯⊕K⊕⋯  acting on the direct sum of countably many copies of  HH . We show that a continuous model for any quasinilpotent operator can be provided. The consequences of such a model will be discussed in the context of  C0C0 -semigroups of quasinilpotent operators.
%~