{'fraction_non_alphanumeric': 0.011811023622047244, 'fraction_numerical': 0.0, 'mean_word_length': 5.132530120481928, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Korovkin approximation for weighted set-valued functions

Abstract We investigate an approximation problem in weighted spaces of continuous functions whose domain is a locally compact Hausdorff space and whose values are non-empty compact convex subsets of a locally convex space. We prove a Korovkin type approximation theorem for monotone linear operators on such spaces and generalize results from earlier work which deals with compact domains and compact convex subsets of a Frechet space, resp. of R n .