Korovkin-type theorems for almost periodic measures

• Autorzy: Silvia-Otilia Corduneanu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 43A60: Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 93
• Numer: 2
• Strony: 277-284

Daty

wydano

2002

Twórcy

autor

Silvia-Otilia Corduneanu

• Department of Mathematics, Gh. Asachi Technical University, Iaşi, Bd. Copou 11, 6600 Iaşi, Romania

Identyfikatory

DOI

10.4064/cm93-2-7