We consider nets of operators acting on complex functions, and we investigate the algebraic and the topological structure of the set . Our results extend and improve some known results from the literature, which are connected with Korovkin’s theorem. Applications to Abel–Poisson-type operators and Bernstein-type operators are given.
"Convergence properties of nets of operators." Ann. Funct. Anal. 9 (1) 1 - 7, February 2018. https://doi.org/10.1215/20088752-2017-0018