2026-10-23T14:56:47Zhttps://gumushane-rdlopen.rawdatalibrary.net/oai/request

oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/157672026-10-22T11:09:33Zopenairecom_gumushane_10000col_gumushane_10001com_gumushane_10007col_gumushane_10171

Locally boundedness and continuity of superposition operators on double sequence spaces Cr0Sağir, BirsenGüngör, NihanContinuityDouble sequence spacesLocally boundedRegularly convergentSuperposition operatorsLet R be set of all real numbers, N be the set of all natural numbers and N2 = N×N. In this paper, we define the superposition operator Pg where g: N2×R → R by Pg ((xks)) = g(k,s,xks) for all real double sequence (xks). Chew & Lee [4] and Petranuarat & Kemprasit [11] have characterized Pg: c0 → l1 and Pg: c0 → lq where 1 ≤ q < ∞, respectively. The main aim of this paper is to construct the necessary and sufficient conditions for the boundedness and continuity of Pg: Cr0 → L1 and Pg: Cr0 → Lp where 1≤ p< ∞.Eudoxus Press, LLC2015Articlehttps://rdlopen.rawdatalibrary.net/r/gumushane/157671521-1398enJournal of Computational Analysis and Applicationsinfo:eu-repo/semantics/closedAccessinfo:eu-repo/semantics/articlehttps://gumushane-rdlopen.rawdatalibrary.net/tr/items/gumushane/15767