Trenogin, V. A. Approximations on families of Banach spaces and solvability of linear equations. (English. Russian original) Zbl 0264.41024 Sov. Math., Dokl. 12(197), 1832-1836 (1972); translation from Dokl. Akad. Nauk SSSR 201, 1288-1291 (1971). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 1 Document MSC: 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs 46B99 Normed linear spaces and Banach spaces; Banach lattices 46E15 Banach spaces of continuous, differentiable or analytic functions 47A50 Equations and inequalities involving linear operators, with vector unknowns 34A45 Theoretical approximation of solutions to ordinary differential equations 35A35 Theoretical approximation in context of PDEs PDFBibTeX XMLCite \textit{V. A. Trenogin}, Sov. Math., Dokl. 12(197), 1832--1836 (1971; Zbl 0264.41024); translation from Dokl. Akad. Nauk SSSR 201, 1288--1291 (1971)