2 papers
math.FA2025
The asymptotic behaviour of the Cesà ro operator
Andrew K. J. Pritchard, David Seifert
We study the asymptotic behaviour of orbits of the classical Cesà ro operator for sequences in the Banach space of convergent sequences. We give new no…
math.FA2025
Tauberian theorems for sequences and the Katznelson--Tzafriri theorem
Andrew K. J. Pritchard, David Seifert
In this note, we present an alternative proof of a quantified Tauberian theorem for vector-valued sequences first proved in \cite{Sei15_Tauberian}. The theorem relates the decay ra…