GÖNÜLLÜ, UĞURPolat, FarukWeber, Martin R.2023-10-112023-10-112023Gönüllü, U., Polat, F. & Weber, M.R. Duals of Cesàro sequence vector lattices, Cesàro sums of Banach lattices, and their finite elements. Arch. Math. 120, 619–630 (2023).0003-889Xhttps://doi.org/10.1007/s00013-023-01840-7https://hdl.handle.net/11413/8817In this paper, we study the ideals of finite elements in special vector lattices of real sequences, first in the duals of Cesaro sequence spaces ces(p) for p is an element of{0}boolean OR[1,infinity) and, second, after the Cesaro sum ces(p)(X) of a sequence of Banach spaces is introduced, where p = infinity is also allowed, we characterize their duals and the finite elements in these sums if the summed up spaces are Banach lattices. This is done by means of a remarkable extension of the corresponding result for direct sums.eninfo:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivs 3.0 United Stateshttp://creativecommons.org/licenses/by-nc-nd/3.0/us/Duals of Ces`aro Sequence SpacesCes`aro Sum of Banach LatticesAtomic Vector LatticesFinite Elements in Vector LatticesArticle0009750335000012-s2.0-85153075833