Convolution in Dual Cesàro Sequence Spaces

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Date
2022-12-16MFO Scientific Program
OWRF 2022Series
Oberwolfach Preprints;2022-20Author
Curbera, Guillermo P.
Ricker, Werner J.
Metadata
Show full item recordOWP-2022-20
Abstract
We investigate convolution operators in the sequence spaces $d_p$, for 1 $\leqslant p<\infty$. These spaces, for $p$ > 1, arise as dual spaces of the Cesàro sequence spaces $ces_p$ thoroughly investigated by G. Bennett. A detailed study is also made of the algebra of those sequences which convolve $d_p$ into $d_p$. It turns out that such multiplier spaces exhibit features which are very different to the classical multiplier spaces of $l^{p}$.