Atay, F. M.Roncoroni, L.2018-04-122018-04-1220172163-2472http://hdl.handle.net/11693/36995We analyze the lumpability of linear systems on Banach spaces, namely, the possibility of projecting the dynamics by a linear reduction opera-tor onto a smaller state space in which a self-contained dynamical description exists. We obtain conditions for lumpability of dynamics defined by unbounded operators using the theory of strongly continuous semigroups. We also derive results from the dual space point of view using sun dual theory. Furthermore, we connect the theory of lumping to several results from operator factoriza-tion. We indicate several applications to particular systems, including delay differential equations. © 2017, American Institute of Mathematical Sciences. All rights reserved.EnglishAbstract Cauchy problemAggregationFactorizationReductionSun dual space47D0634K3034A0547N7034G10Article10.3934/eect.20170022163-2480