Korovkin-type theorems for almost periodic measures

Silvia-Otilia Corduneanu. "Korovkin-type theorems for almost periodic measures." Colloquium Mathematicae 93.2 (2002): 277-284. <http://eudml.org/doc/285043>.

@article{Silvia2002,
abstract = {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.},
author = {Silvia-Otilia Corduneanu},
journal = {Colloquium Mathematicae},
keywords = {locally compact abelian group; almost periodic functions; Korovkin type theorems; almost periodic measures; positive linear operators},
language = {eng},
number = {2},
pages = {277-284},
title = {Korovkin-type theorems for almost periodic measures},
url = {http://eudml.org/doc/285043},
volume = {93},
year = {2002},
}

TY - JOUR
AU - Silvia-Otilia Corduneanu
TI - Korovkin-type theorems for almost periodic measures
JO - Colloquium Mathematicae
PY - 2002
VL - 93
IS - 2
SP - 277
EP - 284
AB - 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.
LA - eng
KW - locally compact abelian group; almost periodic functions; Korovkin type theorems; almost periodic measures; positive linear operators
UR - http://eudml.org/doc/285043
ER -