Convolution in Dual Cesàro Sequence Spaces
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Date
2022
Volume
20
Issue
Journal
Series Titel
Oberwolfach Preprints (OWP)
Book Title
Publisher
Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach
Link to publishers version
Abstract
We investigate convolution operators in the sequence spaces dp, for 1 ⩽p<∞. These spaces, for p > 1, arise as dual spaces of the Cesàro sequence spaces cesp thoroughly investigated by G. Bennett. A detailed study is also made of the algebra of those sequences which convolve dp into dp. It turns out that such multiplier spaces exhibit features which are very different to the classical multiplier spaces of lp.
Description
Keywords
Banach algebra, Convolution, Dual Cesàro sequence space, Multiplier, Spectrum
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License
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This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.