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arXiv · 2302.08745

Convolution in dual Ces\`aro sequence spaces

Guillermo P. Curbera·Werner J. Ricker
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Abstract

We investigate convolution operators in the sequence spaces $d_p$, for $1\le p<\infty$. These spaces, for $p>1$, arise as dual spaces of the \ces 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 $\ell^p$.

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BibTeXRIS

Guillermo P. Curbera, Werner J. Ricker. 2023-02-17. Convolution in dual Ces\`aro sequence spaces. https://arxiv.org/abs/2302.08745

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