Spectral results for operators commuting with translations on Banach spaces of sequences on Zá´· and Zâº
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Violeta Petkova
petkova@univ-metz.fr
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https://doi.org/10.4067/S0719-06462012000300002Abstract
We study the spectrum of multipliers (bounded operators commuting with the shift operator S) on a Banach space E of sequences on Z. Given a multiplier M, we prove that Mf(σ(S)) ⊂ σ(M) where Mf is the symbol of M. We obtain a similar result for the spectrum of an operator commuting with the shift on a Banach space of sequences on Z+. We generalize the results for multipliers on Banach spaces of sequences on Zk.
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Published
2012-10-01
How to Cite
[1]
V. Petkova, “Spectral results for operators commuting with translations on Banach spaces of sequences on Zá´· and Z⺔, CUBO, vol. 14, no. 3, pp. 41–57, Oct. 2012.
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