Theorems of Bohman-Korovkin type for locally convex lattices

zbMATH Open1363.46007arXiv1503.02703MaRDI QIDQ2822894

Heiner Gonska

Publication date: 5 October 2016

Published in: Journal of Numerical Analysis and Approximation Theory (Search for Journal in Brave)

Abstract: The convergence behavior of positive linear operators between certain locally convev vector lattices is reconsidered here.

Full work available at URL: https://arxiv.org/abs/1503.02703

zbMATH Keywords

Banach function spacesKorovkin-type theorempositive linear operatorsapproximation of lattice homomorphisms

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by positive operators (41A36) Ordered topological linear spaces, vector lattices (46A40)

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