Nonlinear operator extensions of Korovkin's theorems

2023/02/09 by Gal, Sorin G., Niculescu, Constantin P.
#41A35 #41A36 #41A63 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2302.04786

Abstract

In this paper we extend Korovkin's theorem to the context of sequences of weakly nonlinear and monotone operators defined on certain Banach function spaces. Several examples illustrating the theory are included.

Related

• Korovkin type theorems for weakly nonlinear and monotone operators
• Nonlinear versions of Korovkin's abstract theorems
• Revisiting Korovkin-type Theorems in Banach Function Spaces
• Korovkin-type results on convergence of sequences of positive linear maps on function spaces
• On The Development of Nonlinear Operator Theory