El Amrani, A. Matricial operators which preserve Schauder basis in p-adic analysis. (English) Zbl 1218.46049 Int. J. Math. Anal., Ruse 4, No. 25-28, 1299-1306 (2010). Summary: We give a generalization for \(p\)-adic analysis of the results established by W. Ruckle and L. W. Baric for the matrix transformations which preserve Schauder bases in the classical case. We give several characterizations of matricial operators which preserve Schauder bases in non-archimedean barrelled spaces. MSC: 46S10 Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis 46A35 Summability and bases in topological vector spaces Keywords:\(p\)-adic analysis; locally \(K\)-convex spaces; barrelled spaces; Schauder and orthogonal bases; matricial operators; preserving operators PDFBibTeX XMLCite \textit{A. El Amrani}, Int. J. Math. Anal., Ruse 4, No. 25--28, 1299--1306 (2010; Zbl 1218.46049) Full Text: Link