Orlicz-Pettis theorems have been established for multiplier convergent series where the multipliers come from or . We show that these results as well as the classical Orlicz-Pettis theorem are corollaries of a general result based on the fact that all of these multiplier spaces have the canonical unit vectors as a Schauder basis.
Cite this article
C. Swartz, C. Stuart, Orlicz-Pettis Theorems for Multiplier Convergent Series. Z. Anal. Anwend. 17 (1998), no. 4, pp. 805–811DOI 10.4171/ZAA/851