Approximation of pseudoresolvents (Q1029955)

The notion of a pseudoresolvent was introduced by \textit{E.\,Hille} [``Functional analysis and semi-groups'' (Am.\ Math.\ Soc.\ Colloq.\ Publ.\ 31; New York: AMS) (1948; Zbl 0033.06501)]. The authors of the paper under review introduced the notion of generated pseudoresolvent in [\textit{A.\,S.\thinspace Awan} and \textit{M.\,Voicu}, Math.\ Rep., Bucur.\ 10(60), No.\,1, 1--9 (2008; Zbl 1174.47009)]. The main purpose of the paper under review is the approximation of the generated pseudoresolvent and their generators.