Spectra of quasisimilar operators (Q2469092)

This work is a sequel of [\textit{M.\,Mbekhta} and \textit{E.\,Zerouali}, J.~Funct.\ Anal.\ 206, No.\,1, 69--86 (2004; Zbl 1053.47004)]. The authors study when two operators on Banach spaces are densely similar and quasisimilar. They study the properties of the spectra of similar and quasisimilar operators. The authors also introduce a generalization of the concept of cyclicity, showing that the conclusions of Theorem 5.5 in the aforementioned paper also work for these operators.