Spectral results for operators commuting with translations on Banach spaces of sequences on Z^k and Z^+

Mathematics – Spectral Theory

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Scientific paper

We study the spectrum of multipliers (bounded operators commuting with the
shift operator S) on Banach spaces of sequences on Z and the spectrum of
operators commuting with the shift on Banach spaces of sequences on Z^+.We
generalize the results for multipliers on Banach spaces of sequences on Z^k.

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