Some Korovkin-type theorems for spaces containing almost periodic measures are presented. We prove that some sets of almost periodic measures are test sets for some particular nets of positive linear operators on spaces containing almost periodic measures. We consider spaces which contain almost periodic measures defined by densities and measures which can be represented as the convolution between an arbitrary measure with finite support (or an arbitrary bounded measure) and a fixed almost periodic measure. We also give a Korovkin-type result for the space of almost periodic measures; in this case the net of linear operators has a certain contraction property.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm93-2-7,
author = {Silvia-Otilia Corduneanu},
title = {Korovkin-type theorems for almost periodic measures},
journal = {Colloquium Mathematicae},
volume = {91},
year = {2002},
pages = {277-284},
zbl = {1015.43009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm93-2-7}
}
Silvia-Otilia Corduneanu. Korovkin-type theorems for almost periodic measures. Colloquium Mathematicae, Tome 91 (2002) pp. 277-284. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm93-2-7/