Convolution in dual Cesàro sequence spaces

Autor: Guillermo P. Curbera, Werner J. Ricker
Rok vydání: 2023
Předmět:
Zdroj: Journal of Mathematical Analysis and Applications. 519:126838
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2022.126838
Popis: We investigate convolution operators in the sequence spaces $d_p$, for 1 $\leqslant 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 $l^{p}$.
Oberwolfach Preprints;2022-20
Databáze: OpenAIRE